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If m1=30and m4=130 thenm2=?

Short Answer

Expert verified

The measure of2 is 100.

Step by step solution

01

Step 1. Highlight ∠1, ∠2 and ∠4.

02

Step 2. Apply exterior angle theorem.

The measure of an exterior angle is equal to the sum of measure of two remote interior angles.

03

Step 3. Description of step.

From the figure it can be observed that1,2 are remote interior angles4and is exterior angle then by exterior angle theorem,

m1+m2=m430+m2=130m2=13030=100

Therefore, the measure of2 is 100.

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