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3 years ago

Can someone help me.

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer:

The answer to your question is: 20°

Step-by-step explanation:

Data

m∠XZY = 40

m∠XZB = 20

Process

1.- Find the measure of ∠ XAB

∠XAB = 40° because AB ║ YZ

2.- Find the measure of ∠ZAB

∠ZAB + ∠XAB = 180

∠ZAB = 180 - ∠XAB

∠ZAB = 180 - 40

∠ZAB = 140°

3.- Find the measure of ∠ABZ

The sum of the internal angles in a triangle equals 180°

∠AZB + ∠ZAB + ∠ABZ = 180

20° + 140° + ∠ABZ = 180

∠ABZ = 180 - 20 - 140

∠ABZ = 20°

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