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Svetlanka [38]
3 years ago
8

Subject:Mathematics ​

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0
<h2><u>Question</u> :</h2>

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?

<h2><u>Answer</u> :</h2>

  • The value of x is 5°

<h2><u>Explanation</u> :</h2>

<h3>Given :</h3>

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

<h3>To Find :</h3>

  • Value of x = ?

<h3>Solution :</h3>

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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