Question

(Use the photo above) Please write an equation for x,and determine the measure of each angle in triangle PAT. Please show work and thanks for helping.

Answer 1

A triangle has total of 180 degrees.
so, (6x+1) + (5x-17) + (9x-24) = 180
20x-16-24 = 180
20x -40 = 180
20x = 180 + 40
20x = 220
x = 220/20
x= 11

Angle P =
6x +1
= 6 (11) + 1
66 + 1 =
= 67 degrees

Angle A = 5x-17
5(11)-17
= 38 degrees

Angle T = 9x -24
9(11)-24
= 75 degrees

To check answer: add all angles : 67 + 38 + 75 = 180 degrees.