Question

6. From the adjoining figure, find the value of x and also the measures of ∠P,

∠Q and ∠R​

Answer 1

Answer:

2x+2+2x-7+x=180°

5x-5=180°

x-5=180°÷5

x-5=36

x=36+5

x=41°

p=84

q=41

r=75

Thank you

Answer 2

Answer:

Step-by-step explanation:

sum of all angles in triangle = 180°.

=> 2x + 2 + 2x - 7 + x = 180

=> 5x - 5 = 180

=> 5x = 185

=> x = 185/5 = 37°

∠P = 2x + 2 = 2 * 37 + 2 = 74 + 2 =  76°

∠Q = x = 37°

∠R = 2x - 7 = 2 * 37 - 7 = 74 - 7 = 67°