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Alik [6]
2 years ago
13

Find the measures of x and y

Mathematics
2 answers:
Blizzard [7]2 years ago
3 0

Answer:

x = 159; y = 140

Step-by-step explanation:

a = 40

a + y = 180

y = 180 - 40

y = 140

b = 61

b = (180 - x) + a

61 = 180 - x + 40

x = 159

ANEK [815]2 years ago
3 0

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

\Large\boxed{\angle y=140^\circ}

<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)

\Large\boxed{\angle x=159^\circ}

Hope this helps!! :)

Please let me know if you have any questions

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