Question

std 7th Maths

lesson no.4 Angles and Pairs of Angles.

(please answer with method)​

Answer 1

Step-by-step explanation:

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°.

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