Question

Angles a and b are ertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Answer 1

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°