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I only need number 11 in the picture please help and show work ​

I only need number 11 in the picture please help and show work ​-example-1

2 Answers

7 votes

Answer: <1=115°, <2=115°, <3=65°

Explanation:

Since one of the properties of isoceles trapezoids are the fact that they have congruent lower base angles, we can assume that <3=65°. Since each quadrilateral contains angles that add up to 360°, Since we have 2 angles that are both 65°, we can add them together, which results in 130°, and subtract from 360°, which results in 230°. Since isoceles trapezoids have equal upper base angles, we can divide this by 2, which results in angles <1 and <2 being 115°.

User TMKasun
by
3.7k points
8 votes

Answer:

1 = 115°

2 = 115°

3 = 65°

Explanation:

P=65, so S (3) =65

360-65-65=230

230/2=115

Q (1) = 115

R (2) = 115

User Dmirkitanov
by
4.1k points