The sum of the measures of angle M and angle R is 90°. • The measure of angle M is (5 x + 10)°. • The measure of angle R is 55°. What is the value of x ?

Respuesta :

Answer:

x = 5

Step-by-step explanation:

We have: The sum of the measures of angle M and angle R is 90°

So: M + R = 90°     (1)

But M = (5x + 10)°

Plug M into (1)

So:  (5x + 10)° + R = 90°   (2)

Plug R=55° into (2)

So: (5x + 10)° + 55° = 90°

⇔ 5x + 10 + 55 = 90

⇔ 5x + 65 = 90

⇔ 5x = 25

⇔ x = 5

I hope this answer will help you.