Question

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Answer 1

Given:

$m\angle WXZ=109^\circ$

m∠2 is 19° more than m∠1.

To find:

The value of m∠1.

Solution:

Let the measure of ∠1 be x.

Then, $m\angle 2=x+19^\circ$

$m\angle WXZ=109^\circ$, it means the sum of m∠1 and m∠2 is 109°.

$m\angle 1+m\angle 2=109^\circ$

$x+(x+19^\circ)=109^\circ$

$2x+19^\circ=109^\circ$

$2x=109^\circ-19^\circ$

$2x=90^\circ$

Divide both sides by 2.

$x=\dfrac{90^\circ}{2}$

$x=45^\circ$

Therefore, the value of m∠1 is 45°.