Mathematics: Subject:Mathematics

Subject:Mathematics - id11102762, tajahs2

cleatcucarol

13.03.2021

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°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 :

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

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

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

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

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

$\sf : \implies x = \cancel{\dfrac{25\degree}{5}}$

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

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

Hence, value of x is 5°.

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