Question

P=52 degrees and mQ=(3x+2) degrees

Answer 1

Question is not Proper.The Proper Question is given below.

∠P and ∠Q are complementary. m∠P = 52° and m∠Q = (3x + 2)°. Find the value of x. Show your work.

Answer:

Therefore the value of x is

`x=12`

Explanation:

Given:

∠P and ∠Q are complementary.

m∠P = 52° and

m∠Q = (3x + 2)°.

To Find:

x = ?

Solution:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

Example 40° and 50° are Complementary Angles.

If 'x' and 'y' are Complementary Angles the we have

`x+y=90\°`

Here, ∠P and ∠Q are complementary.

`\angle P+\angle Q=90\°`

Substituting the values we get

`52+3x+2=90\\3x=90-54=36\\\\x=(36)/(3)=12`

Therefore the value of x is

`x=12`