HappyLiz
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(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.

Use the photo above Please write an equation for xand determine the measure of each angle in triangle PAT Please show work and thanks for helping class=

Respuesta :

vrwarrier
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.