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Find the measure of the below angles or their sums

publish date: 2023/05/24 04:32:00 GMT+10

Refer to the figure in which m(∠1) = 50^o. Find the measure of each angle or sum of angles.

(1) 50

(2) 130

(3) 230

(4) 260

∠1 and ∠3 are vertical angles, so m(∠1) = m(∠3). Then m(∠3) = 50^o
Angles ∠1 and ∠4 are supplementary. So, m(∠4) = 130^o
Angle ∠2 is supplementary to angle ∠1. Then m(∠2) = 130^o
- m(∠1) + m(∠2) + m(∠3) = 50^o + 130^o + 50^o = 230^o
m(∠2) + m(∠4) = 130^o + 130^o = 260^o

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