Question

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Answer 1

21) Angle A = 44 degrees

22) Angle A = 23 degrees

Explanation:

The angles inside of every triangle always add up to 180 degrees, you can use this trigonometric identity to solve for x values:

Problem 21)

X + 59 + X + 51 + 84 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = x + 51 = -7 + 51 = 44 degrees

Problem 22)

The square symbol inside a triangle denotes a 90 degree angle. Setting the angles equal to 180 degrees, you can find angle A again.

90 + x + 37 + x + 67 = 180

2x + 194 = 180

2x = -14

x = -7

now solve for angle A:

Angle A = -14 + 37 = 23 degrees

Answer 2

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Explanation: