angle A and angle B are complementary angles. | vedclass

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Question

(A) Two angles are complementary if their sum is $90^{\circ}$.Therefore,$\angle A + \angle B = 90^{\circ}$.Given that $\angle A = \angle B - 20^{\circ

Vedclass · Accepted Answer

$\angle A = 35^{\circ}, \quad \angle B = 55^{\circ}$

Vedclass · Answer

(A) Two angles are complementary if their sum is $90^{\circ}$.Therefore,$\angle A + \angle B = 90^{\circ}$.Given that $\angle A = \angle B - 20^{\circ}$.Substituting the value of $\angle A$ in the first equation:$(\angle B - 20^{\circ}) + \angle B = 90^{\circ}$$2\angle B - 20^{\circ} = 90^{\circ}$$2\angle B = 110^{\circ}$$\angle B = 55^{\circ}$.Now,find $\angle A$:$\angle A = 55^{\circ} - 20^{\circ} = 35^{\circ}$.Thus,$\angle A = 35^{\circ}$ and $\angle B = 55^{\circ}$.

$\angle A$ and $\angle B$ are complementary angles. If $\angle A = \angle B - 20^{\circ}$,then find $\angle A$ and $\angle B$.

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