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What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°

What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°-example-1

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Answer:

C) 56 deg

Explanation:

The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.

28 + y = 90

y = 62 deg

The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.

The sum of the measures of the angles of a triangle is 180 deg.

62 + 62 + x = 180

124 + x = 180

x = 56

Answer: C. 56 deg

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