Question

(Please help I’m really struggling I will give brainliest too :-) for the figure shown on the right, find the value of the variable and the measures of the angles

Answer 1

Answer:

x = 40

m∠Q = 105°

m∠R = 40°

m∠P = 35°

Step-by-step explanation:

Sum of Angles in a Triangle: 180°

Step 1: Define variables

m∠Q = 2x + 25

m∠R = x

m∠P = x - 5

Step 2: Set up equation

m∠Q + m∠R + m∠P = 180°

2x + 25 + x + x - 5 = 180°

Step 3: Solve for x

4x + 20 = 180

4x = 160

x = 40

Step 4: Solve for measure angles.

m∠Q = 2x + 25

m∠Q = 2(40) + 25 = 80 + 25 = 105°

m∠R = x

m∠R = 40°

m∠P = x - 5

m∠P = 40 - 5 = 35°