Question

Angle 1 and angle 2 are shown in the diagram below.


Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?

Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°


Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝

Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°


Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°

Answer 1

Answer:

Equation: 180 = 127.50 + 3.5x

Angle 1: 135.45°

Angle 2: 44.55°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9/4x + 101.7 + 1 1/4x +25.8 = 180

Change the mixed number to an improper fraction

9/4x + 101.7 + 5/4x +25.8 = 180

Combine like terms

14/4x +127.5 = 180

Subtract 127.5 from each side

14/4x = 180-127.5

14/4x = 52.5

Multiply each side by 4/14 to isolate x

x =52.5 * 4/14

x = 15

Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45

Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55