Question

The difference in the measure of two complementary angles is given below. Find the measure of the angles. .​

Answer 1

Answer:

The measures of some angles are given below. Write the measures of their complementaryangles.

(i) 40° (ii) 63° (iii) 45°(iv) 55° (v) 20° (vi) 90° (vii) x°

Step-by-step explanation:

I )Let the measure of the complementary angle be a.

40 + a = 90

∴ a = 50°

Hence, the measure of the complement of an angle of measure 40° is 50°

(ii)

Let the measure of the complementary angle be a.

63 + a = 90

∴ a = 27°

Hence, the measure of the complement of an angle of measure 63° is 27°

(iii)

Let the measure of the complementary angle be a.

45 + a = 90

∴ a = 45°

Hence, the measure of the complement of an angle of measure 45° is 45°

(iv)

Let the measure of the complementary angle be a.

55 + a = 90

∴ a = 35°

Hence, the measure of the complement of an angle of measure 55° is 35°

(v)

Let the measure of the complementary angle be a.

20 + a = 90

∴ a = 70°

Hence, the measure of the complement of an angle of measure 20° is 70°

(vi)

Let the measure of the complementary angle be a.

90 + a = 90

∴ a = 0°

Hence, the measure of the complement of an angle of measure 00° is 0°

(vii)

Let the measure of the complementary angle be a.

x + a = 90

∴ a = (90 − x)°

Hence, the measure of the complement of an angle of measure x° is (90 − x)°

Answer 2

Answer:

The difference in the measure of two complementary angles is given below. Find the measure of the angles.