Finding Unknown Angle Measures

Question 1

What is the measure of angle BMA where the diagonals meet? °

Revolt · Accepted Answer

90

Question 2

Question 2

Revolt · Accepted Answer

°: 61; °: 119

Question 3

What is the measurement of angle DMC?✔ 903060120°

Revolt · Accepted Answer

A: ✔ 90

Question 4

What is the measure of ?

Revolt · Accepted Answer

B: 61°

Question 5

Which relationships about the interior and exterior angles are true? Check all that apply.

Revolt · Accepted Answer

A: a° + b° + c° = 180°; B: x° + a° = 180°

Question 6

Another engineer is tiling a new building. A square tile is cut along one of its diagonals to form two triangles with two congruent angles. What are the measurements of the interior angles of the triangles? Explain how you calculated them.

Revolt · Accepted Answer

The interior angles are 90°, 45°, and 45°. The triangle has a right angle because it shares an angle with the square. The equation 90 + 2x = 180 can be used to find the two congruent angles.

Question 7

a = 2959✔ 61119°

Revolt · Accepted Answer

C: ✔ 61

Question 8

Mary is explaining the angle relationship of the interior angles of triangles to a coworker. She states that the angles should always add up to 180°. How can Mary prove that this is true? (Hint: Imagine taking the angles and putting them side by side.)

Revolt · Accepted Answer

There are three angles in a triangle. Angles can be cut off and arranged as adjacent angles on a straight line. The sum of the measure of interior angles is always 180°.

Question 9

How do you know?✔ DMC and BMA are vertical angles.DMC and BMA are complementary angles.DMC and BMA are supplementary angles.DMC and BMA are adjacent angles.

Revolt · Accepted Answer

A: ✔  DMC and BMA are vertical angles.

Question 10

b = 295961✔ 119°

Revolt · Accepted Answer

D: ✔ 119

Finding Unknown Angle Measures Answers

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