Question

1. name the complementary angles to each of the following: (7.) 45° (8.) 70° (9.) 12° (10.) 62° (11.) 25° (12.) 50°

Explanation:

Step1: Recall complementary - angle formula

Complementary angles add up to 90°. Let the given angle be $\theta$, and the complementary angle be $\alpha$. Then $\alpha=90^{\circ}-\theta$.

Step2: Calculate for $\theta = 45^{\circ}$

$\alpha_1 = 90^{\circ}-45^{\circ}=45^{\circ}$

Step3: Calculate for $\theta = 70^{\circ}$

$\alpha_2 = 90^{\circ}-70^{\circ}=20^{\circ}$

Step4: Calculate for $\theta = 12^{\circ}$

$\alpha_3 = 90^{\circ}-12^{\circ}=78^{\circ}$

Step5: Calculate for $\theta = 62^{\circ}$

$\alpha_4 = 90^{\circ}-62^{\circ}=28^{\circ}$

Step6: Calculate for $\theta = 25^{\circ}$

$\alpha_5 = 90^{\circ}-25^{\circ}=65^{\circ}$

Step7: Calculate for $\theta = 50^{\circ}$

$\alpha_6 = 90^{\circ}-50^{\circ}=40^{\circ}$

Answer:

(7) $45^{\circ}$
(8) $20^{\circ}$
(9) $78^{\circ}$
(10) $28^{\circ}$
(11) $65^{\circ}$
(12) $40^{\circ}$