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4. What is the measure of angle ABD in the figure below?*
D
2x
A
B
с

User Rosta
by
8.0k points

1 Answer

4 votes

Answer:

Measure of exterior angle ABD = 136°

Explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

4. What is the measure of angle ABD in the figure below?* D 2x A B с-example-1
User Derekahc
by
8.2k points

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