Question

Subject:Mathematics ​

Answer 1

Question :

The sum of the measure of angle M and angle R is 90°.

• The measure of angle m is (5x + 10)°.
• The measure of angle R is 55°.

What is the value of x?

Answer :

• The value of x is 5°

Step-by-step explanation :

Given :

• ∠M + ∠R = 90°
• ∠M = (5x + 10)°
• ∠R = 55°

To Find :

• Value of x = ?

Solution :

We are given :

• ∠M + ∠R = 90°

• Value of ∠M = (5x + 10)°
• Value of ∠R = 55°

So, by substituting value of ∠M and ∠R in ∠M + ∠R = 90°, we have :

`\sf : \implies (5x + 10)\degree + 55 \degree = 90\degree`

`\sf : \implies 5x + 10 + 55 = 90\degree`

`\sf : \implies 5x + 65 = 90\degree`

`\sf : \implies 5x = 90\degree - 65 \degree`

`\sf : \implies 5x = 25\degree`

`\sf : \implies x = \cancel{(25\degree)/(5)}`

`\sf : \implies x = 5\degree`

`\Large \underline{\boxed{\tt{x = 5\degree}}}`

Hence, value of x is 5°.