Question

I need help plz asap

Answer 1

Answer: Angle A = 34 degrees

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Explanation:

Check out the diagram below.

Segment BD cuts angle EBC in half

So the two smaller pieces DBC and DBE are congruent. Let's call them x.

Let's make y = angle EBA.

Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say

x+x+y = 180

2x+y = 180

y = -2x+180

We'll use this later.

For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.

D+E+B = 180

28+90+x = 180

x+118 = 180

x = 180-118

x = 62

Which means

y = -2x+180

y = -2*62+180

y = -124+180

y = 56

Now focus on triangle BEA. We have B = 56, E = 90 and A = z

B+E+A = 180

56+90+z = 180

146+z = 180

z = 180-146

z = 34

which is the measure of angle A.