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3 years ago

Geometry question about finding missing angles!

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

Answer:

x = 38.5
y = -12.5
m∠EBD = 26°

Step-by-step explanation:

The sum of the three angles is 180°.

(2x) +(x+y) +(52-2y) = 180

3x -y = 128 . . . . write in standard form

The congruent angles have equal measure.

2x = 52 -2y

x + y = 26 . . . . write in standard form

Adding these two standard-form equations, we get ...

(3x -y) +(x +y) = (128) +(26)

4x = 154

x = 38.5

x + y = 26

y = 26 -38.5 = -12.5

The values of interest are ...

x = 38.5
y = -12.5
m∠EBD = 26°

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