Given that measure of angle 6 is 1/8 of measure of angle 4. find the measures of these two angles if a∥b . fill in the blanks and hurry
statement reason
1. a∥b given
2. m∠6= 1 8 m∠ given
3. m∠6+m∠4 =
4. m∠6+8m∠ = 180° substitution
6. m∠6 = m∠4= algebra

m∠4=160°

m∠6=20°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠6+m∠4=180° ----> equation A (by consecutive interior angles)

m∠6=(1/8)m∠4 ---> equation B

substitute equation B in equation A

(1/8)m∠4+m∠4=180°

Solve for m∠4

(9/8)m∠4=180°

m∠4=180°(8)/9

m∠4=160°

Find the measure of m∠6

m∠6=(1/8)m∠4

m∠6=(1/8)(160°)=20°

both equations and proportions are better.