Angles A and B are complements of each other. If $\angle A=x-20°$ and $\angle B=x-30°$, find the measure of both the angles.
Given :
$\angle A=x-20°$ and $\angle B=x-30°$.
To do :
We have to find the measure of both the angles.
Solution :
$\angle A=x-20°$ and $\angle B=x-30°$
$A+B = 90°$ [A and B are complementary angles]
$x-20°+x-30° = 90°$
$2x - 50° = 90°$
$2x = 90°+50°$
$2x = 140°$
$x = \frac{140}{2}$
$x = 70°$.
$\angle A=x-20° = 70°-20°=50°$
$\angle B=x-30° = 70°-30° = 40°$
Therefore, measures of $\angle A$ and $\angle B$ are 50°, and 40° respectively.
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