Question

Yall please!!! its the last question of this assignment and its due in 30 mins!!! PLEASE

The measures of the angles of triangle PQR can be represented in terms of x:

The measure of angle P is
(5x) °
The measure of angle Q is
(x + 12) °

The measure of angle R is
( x - 7) °
Write an equation that can be used to find x and the measure of each angle.

Answer 1

5x +(x +12) +(x -7) = 180

Explanation:

Given angles P(5x°), Q(x+12°), and R(x-7°), you want an equation that can be used to find x and the measure of each angle in triangle PQR.

Angle sum theorem

The angle sum theorem tells you the sum of angles in a triangle is 180°. That means a suitable equation is ...

(5x) +(x +12) +(x -7) = 180

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Additional comment

The solution is ...

7x +5 = 180

x = (180 -5)/7 = 25

P = 5·25 = 125°

Q = 25 +12 = 37°

R = 25 -7 = 18°