Question

Enter the measure of ∠TOM, in degrees. (Enter just the number)

Answer 1

150

Explanation:

m∠TOG = m∠TOP + m∠POM + m∠MOG

m∠TOG = 180°

m∠TOP = 90°

m∠POM = (5x - 15)°

m∠MOG = (2x)°

90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15

m∠TOM = 90° + m∠POM

m∠TOM = 90° + (5×15 - 15)° = 150 °

Answer 2

Answer: 150

Explanation:

We know (5x-15)+(2x)=90 degree

so we can solve x = 15

plug in 5(15) - 15 = 60

60 + 90 = 150