Question

Angles A and B are complementary angles. Angles B and C are supplementary angles. If
the measure of angle A is 45°, find the measure of angle C and prove that angles A and C
are supplementary angles.​

Answer 1

Answer:

Angle C = 135 degrees

Step-by-step explanation:

since b and c are supplement angle

and a & b are complementary angle B = 45

so b+ c = 180

so 45 + c =180

c=180-45

= 135.

a =45

a + c = 180

45+135=180

hope it is useful for you

Answer 2

Answer:

Angle A and B are Complementary angles

Sum of complementary angles is 90°

Angle A = 45°

Angle B = ?

Acc. to question

Angle A + Angle B = 90°

45° + Angle B = 90°

Angle B = 90° - 45°

Angle B = 45°

Angle B and Angle C are Supplementary angles

Sum of Supplementary angles is 180°

Acc. to question

Angle B + Angle C = 180°

45° + Angle C = 180°

Angle C = 180° - 45°

Angle C = 135°

Angle A and Angle C are Supplementary if sum of angle A and C is 180°

Angle A + Angle C = 180°

45° + 135° = 180°

180° = 180°

L.H.S = R.H.S

Proved