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question 3 find the missing angle measures: x = y =

Question

question 3
find the missing angle measures:

x =

y =

Explanation:

Step1: Solve for $x$ (supplementary angles)

$x + 110^\circ = 180^\circ$
$x = 180^\circ - 110^\circ = 70^\circ$

Step2: Solve for $y$ (triangle angle sum)

$y + x + 64^\circ = 180^\circ$
$y = 180^\circ - 70^\circ - 64^\circ = 46^\circ$

Answer:

$x = 70$
$y = 46$