Question

State true or false:

The complement of the angle $(150-a+b{)}^o$ is $(a-b-60{)}^o$.

• A. True
• B. False

Answer 1

The correct option is A True

We know, two angles are complementary when they add up to ${90}^o.$

Given, measure of one complementary angle is $(150-a+b{)}^o.$

$\Rightarrow$ Measure of other complementary angle $={90}^o-(150-a+b{)}^o$

$=(90-150+a-b{)}^o=(-60+a-b{)}^o=(a-b-60{)}^o.$

$\therefore$ Measure of the complementary angle of $(150-a+b{)}^o$ $=(a-b-60{)}^o.$

Hence, the statement is true and option $A$ is correct.