Question

The sum of the measures of angle P and angle Q is 90°.

The measure of angle P is (2x−10)°.
The measure of angle Q is 60°.
What is the value of x?

Answer 1

x=20

Explanation:

since the value of angle P and Q adds up to 90°,

(2x-10)+60=90.

shift -10 and 60 to the right hand side of the equation,

2x=90-60+10

2x=40

divide both sides by 2,

x=40÷2

x=20

hence, the value of x is 20

Answer 2

The measure of the second angle is,. 2a=2×60° =120°.

Step-by-step explanation:Supplementary angles are two angles whose measures add up to 180° .

The two angles of a linear pair, like ∠1 and ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180°.