Question

(a) An angle measures 40°. What is the measure of its complement?

(b) An angle measures 63°. What is the measure of its supplement?

Answer 1

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

• Let the value of unknown angle be x.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

• Let the value of unknown angle be x.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

Answer 2

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

• Let the value of unknown angle be x.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

• Let the value of unknown angle be x.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

Answer 3

see below

Explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117