Answer:
m∠x = 159°
m∠y = 140°
Step-by-step explanation:
<h2>PART I: Find the measure of y</h2>
<u>Given information</u>
∠a = 40°
<u>Given formula</u>
∠a + ∠y = 180° (Supplementary angles)
<u>Substitute values into the formula</u>
40 + ∠y = 180
∠y = 180 - 40

<h2>PART II: Find the measure of x</h2>
<u>Given information</u>
∠b = 61°
∠c = Supplementary angle of ∠b
<u>Given formula</u>
∠b + ∠c = 180°
<u>Substitute values into the formula</u>
61 + ∠c = 180
∠c = 180 - 61
∠c = 119°
<u>Determine the value of ∠x</u>
∠x = ∠a + ∠c (Exterior angle theorem)
∠x = (40) + (119)

Hope this helps!! :)
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