If m∠A = 70°, what is the measure of the supplement of the compleme

1.	If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?
Answer» Let the measure of the complement of ∠A be x° and the measure of its supplementary angle be y°. m∠A + x = 90° ∴ 70 + x = 90 ∴ 70 + x – 70 = 90 – 70 ….(Subtracting 70 from both sides) ∴ x = 20 Since, x and y are supplementary angles. ∴ x + y = 180 ∴ 20 + y = 180 ∴ 20 + y – 20 = 180 – 20 ….(Subtracting 20 from both sides) ∴ y = 160 ∴ The measure of supplement of the complement of ∠A is 160°.

If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?

Answer»

Let the measure of the complement of ∠A be x° and the measure of its supplementary angle be y°.

m∠A + x = 90°

∴ 70 + x = 90

∴ 70 + x – 70 = 90 – 70 ….(Subtracting 70 from both sides)

∴ x = 20

Since, x and y are supplementary angles.

∴ x + y = 180

∴ 20 + y = 180

∴ 20 + y – 20 = 180 – 20 ….(Subtracting 20 from both sides)

∴ y = 160

∴ The measure of supplement of the complement of ∠A is 160°.