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Someone help me ASAP

I have to find angle 1 and angle 3​

Someone help me ASAP I have to find angle 1 and angle 3​-example-1
User Jens Ayton
by
4.1k points

2 Answers

3 votes

Answer:

m<1 = 52°

m<3 = 52°

m<4 = 128°

Explanation:

Given: m<2 = 128°

<1 is supplementary to <2.

m<1 + m<2 = 180°

m<1 + 128° = 180°

m<1 = 52°

Angles 1 and 3 are vertical angles, so they are congruent.

m<3 = 52°

Angles 2 and 4 are vertical angles, so they are congruent.

m<4 = 128°

User Matthew Amato
by
4.4k points
3 votes

Answer:

∠1 = 52

∠2 = 128

∠3 = 52

Explanation:

∠2 = ∠4 Because of vertical angles

∠1 = ∠3 Because of vertical angles

∠1 + ∠4 = 180 Because of supplementary angles

Here, we are given that ∠4 = 128°

∠4 = ∠2 So ∠2 = 128°

∠1 + ∠4 = 180

∠4 = 128°

∠1 + 128° = 180

==> subtract 128 from both sides

∠1 = 52

∠1 = ∠3

∠1 = 52 meaning that ∠3 = 52

User Mxasim
by
5.6k points