Question

Please help me with this

Answer 1

34°

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We'll use the Angle Addition Postulate, which states:

• "the measure of an angle formed by two angles side by side is the sum of the measures of the two angles"

Let's apply this to the given problem by using the following equation:

• m∠WXZ = m∠1 + m∠2

We are also given that:

• m∠1 = m∠2 + 33

Substitute values into equation and find the missing one:

• 101 = (m∠2 + 33) + m∠2
• 101 = 2m∠2 + 33
• 2m∠2 = 101 - 33
• 2m∠2 = 68
• m∠2 = 34

So the missing angle is 34°.