Question

Solve for X. HELP?!

Answer 1

x = 90

Explanation:

In this figure the exterior angle is 130°

An exterior angle is the sum of the interior angles. The interior angles are x and 40 so x + 40 = 130 giving x = 130-40 = 90

Answer 2

∠ x = 90°

(90 degrees)

Explanation:

When two angles combine to make a straight line, we know that their angle values must add up to 180

Here, we can see that 130 combines with an inner angle to form a straight line. (I will be calling this interior angle z )

So, 130 + z = 180

130 + z = 180

- 130 -130

z = 50

We also know that all angles in a triangle must add up to 180 degrees, and because we know the two other angles of our triangle now, we can find x

z + x + 40 = 180

50 + x + 40 = 180

90 + x = 180

- 90 -90

x = 90

So, the measure of angle x is 90°

hope this helps!! have a lovely day :)