Find the value of x.
please.

Answer:

130°

Step-by-step explanation:

1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)

2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).

3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.

Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.

The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.

You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)

∠x + ∠n = 180˚ (These angles are supplementary)

∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)

If we isolate ∠n in both equations, then:

∠n = 180˚ - ∠x

∠n = 180˚ - 59˚ - 71˚

Since the right sides of both equations are equal, we can turn it into a single equation:

∠n = ∠n

180˚ - ∠x = 180˚ - 59˚ - 71˚

Isolate ∠x:

∠x = 59˚ + 71˚

So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.

Now, let's get ourselves a definitive answer:

∠x = (59˚ + 71˚)

∠x = 130˚

If you have any further questions on how I got to the answer, just ask in the comments! Good luck!

- breezyツ

How many real number solutions does 4x^2+2x+5=0 have?

Help due soon!!!!!

If the equation (x+10)x=0 is true, which statement is also true according to the zero product property?

Group of answer choices

only x=0

either x=0 or x+10=0

either x^2=0 or 10x=0

only x+10=0

Which is NOT true about a direct proportion?

Which expression is equivalent to 0.06h +h+0.85h? ​

The area of a right triangle is 3gh. Find the height if the base is 3gh.
Area of a triangle: A = 1/2bh

pls help with this !!

Angles in triangles

Question is in the photo

Please explain your steps when solving the equation:
-3b + 6 = 18

Is the sum of 3+ The Square root of 7 a rational number?

5. A bag contains 5 blue marbles, 4 yellow marbles and 1 red marble. What 1 point
is the probability of selecting a yellow marble, replacing it, then selecting a
blue marble?

1.75x+1.25y=2
7x+5y=9
how many solutions does this system of equations have?

Which set of coordinates will provide the verticals for the translation of HJK 4 units down

Find the missing ratio (n) from the two equivalent ratios 6:15 = n:35.

The square below represents one whole.
What percent is represented by the shaded area?
%

You deposit $500 in an account that pays 4% interest compounded yearly. What is the balance after 5 years?

What two numbers have a product of -72 and a sum of 1?

As an estimation we are told 5 miles is 8 km.
Convert 55 miles to km​

The speed of sound (shockwave) in an explosion is 100mph. How many seconds does the shockwave reach 2km away?​

En una muestra de 50 restaurantes de comida rápida, la venta media fue de $3.000, y la desviación estándar, $200. El intervalo de confianza del 95% es

Answer this please thank you

What is the area of the parallelogram?

(PLEASE HELP) Find the product of

(x+4)(x2+7x).

86 + p = 96 what is the answer

f (x) = -(x – 3)2 + 1
Vertex:
AOS:
Direction of opening:
Domain:
Range:
Solutions:

You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a graph showing the percentage of students who chose each restaurant. Which is the appropriate graph? stem-and-leaf
circle graph
line graph
scatter plot​

True or False
Is 2-1 = 21 ?

Solve for x.
4x - 4 <8 AND 9x + 5 > 23

Chose 1 answer:
A) 2 3
C) There are no solutions.
D) All values of x are solutions.

Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?

koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?

b r a i n l i s t to the first person to answer


A rectangle has an area of 1,280.64 square miles and a base of 36.8 miles. What is the height?