Draw two intersecting lines such that one of the angles thus formed is 70 Find the measure of the remaining - Maths - Lines and Angles

Question

Draw two intersecting lines such that one of the angles thus
formed is 70 Find the measure of the remaining angles formed

Manbar Singh · Accepted Answer

Let AB and CD are two straight lines that intersect at point O
Let ∠AOC = 70°

now, ∠BOD = ∠AOC  vertically opposite angles⇒∠BOD = 70°Since ∠AOC and ∠COB form a linear pair, then∠AOC+∠COB = 180°⇒70°+∠COB = 180°⇒∠COB = 180° - 70°⇒∠COB =110°now, ∠DOA = ∠COB  vertically opposite angles⇒∠DOA = 110°

Draw two intersecting lines such that one of the angles thus formed is 70.Find the measure of the remaining angles formed.