Can someone please help thank you.

Question

asked Jul 24, 2024 164k views

1 Answer

Christutty · Answer 1 · 2024-07-29T14:03:04+0000

Part (a)

Focus on triangle ABC.

This triangle is isosceles because AB = CB.

The base angles opposite the congruent sides are congruent angles.

Angle A = angle C = 68 degrees

Let's use that to find angle B of triangle ABC.

A+B+C = 180

68+B+68 = 180

B+136 = 180

B = 180-136

B = 44

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Part (b)

angle ABC + angle CBD = angle ABD

angle CBD = angle ABD - angle ABC

angle CBD = 90 - 44

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Part (c)

Triangle BCD is isosceles because BC = BD.

Let x be the measure of each congruent base angle C and D.

B+C+D = 180

46+x+x = 180

46+2x = 180

2x = 180-46

2x = 134

x = 134/2

x = 67