Question

Angles A and B are complementary.

Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees.
What is the value of x ?

Answer 1

`\mathrm{x=34^o}`

Explanation:

`\mathrm{Since\ A\ and\ B\ are\ complementary\ angles,}\\\mathrm{\angle A+\angle B=90^o}\\\mathrm{or,\ (x+22)^o+x^o=90^o}\\\mathrm{or,\ 2x+22^o=90^o}\\\mathrm{or,\ 2x=68^o}\\\mathrm{or,\ x=34^o}`

Answer 2

The value of x is :

↬ 34

Solution:

If two angles are complementary, their sum is 90°.

Since A and B are complementary, we know that :

`\rm{A+B=90}`

The values are x + 22 and x, respectively.

`\rm{x+22+x=90}`

Combine like terms.

`\rm{2x+22=90}`

`\rm{2x=68}`

Divide each side by 2.

`\rm{x=34}`

The value of the other angle is:

`\rm{x=34+22}`

`\rm{x=56}`

Hence, the angles are 34 and 56.