Answer:
Angle a = 17°
Angle b = 17°
Step-by-step explanation:
Angles a and b are vertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure
Vertical angles are angles that are equal to each other
Step 1
We find x
a = b
Hence,
8x+1 = 21-2x
Collect like terms
8x + 2x = 21 - 1
10x = 20
x = 20/10
x = 2
Step 2
We find each angle
Angle a
8x+1
x = 2
Angle a = 8(2) + 1
= 17°
Angle b
21-2x
x = 2
21 - (2 × 2)
= 21 - 4
= 17°
Therefore:
Angle a = 17°
Angle b = 17°
