Answer:
m∠x = 159°
m∠y = 140°
Step-by-step explanation:
PART I: Find the measure of y
Given information
∠a = 40°
Given formula
∠a + ∠y = 180° (Supplementary angles)
Substitute values into the formula
40 + ∠y = 180
∠y = 180 - 40
[tex]\Large\boxed{\angle y=140^\circ}[/tex]
PART II: Find the measure of x
Given information
∠b = 61°
∠c = Supplementary angle of ∠b
Given formula
∠b + ∠c = 180°
Substitute values into the formula
61 + ∠c = 180
∠c = 180 - 61
∠c = 119°
Determine the value of ∠x
∠x = ∠a + ∠c (Exterior angle theorem)
∠x = (40) + (119)
[tex]\Large\boxed{\angle x=159^\circ}[/tex]
Hope this helps!! :)
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