Question

DUE TOMORROW MORNING!!! HELP HELP HELPPP I’m so lost but I feel like it’s easy and I’m making it hard pleaseee help!!!!!

Answer 1

x = 9

Explanation:

Use Vertical Angles and Supplementary Angles to put all the given information inside the triangle.

Then use the idea that the three angles in a triangle add up to 180° to write an equation.

see image.

Actually also--shortcut! The 150° is an exterior angle, so it is equal to the

90° + 5x+15

90 + 5x + 15 = 150

this calculation comes out the same as the other.

Answer 2

x = 9

Explanation:

Given a right triangle with an exterior angle of 150°, and a vertical angle to the other acute angle marked as 5x+15, you want to solve for x.

Exterior angle

The exterior angle is equal to the sum of the remote interior angles. One of those is the right angle; the other is a vertical angle with respect to the one marked 5x+15. So, we have ...

150 = 90 + (5x +15)

45 = 5x . . . . . subtract 105

9 = x . . . . . . divide by 5

The value of x is 9.