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38 votes
38 votes
Find the measures of x and y.
2.
145°
55°

Find the measures of x and y. 2. 145° 55°-example-1
User Sghael
by
2.8k points

1 Answer

18 votes
18 votes

Answer:

x = 35° , y = 90°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

145° is an exterior angle of the triangle , then

y + 55° = 145° ( subtract 55° from both sides )

y = 90°

the sum of the 3 angles in a triangle = 180° , then

x + y + 55° = 180°

x + 90° + 55° = 180°

x + 145° = 180° ( subtract 145° from both sides )

x = 35°

User Vdep
by
2.8k points