Question

Find the measures of angles a and b when 0=47

Answer 1

b = 133, a = 47

Explanation:

If the two lines are parallel, then angle b is equal to 180-47 = 133 (same side interior angles), and angle is equal to angle 0 (alternate interior angles)

Answer 2

`\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star`

• a = 47°

• b = 133°

`\textsf{ \underline{\underline{Steps to solve the problem} }:}`

`\qquad❖ \: \sf \:a = \theta`

( by Alternate interior angle pair )

`\qquad \therefore\: \sf \:a = 47 \degree`

Next,

`\qquad❖ \: \sf \:b = 180 - \theta`

( by co - interior angle pair )

`\qquad❖ \: \sf \:b = 180 - 47`

`\qquad \therefore \: \sf \:b = 133 \degree`

`\qquad \large \sf {Conclusion} :`

`\qquad❖ \: \sf \: \:a = 47 \degree`

and

`\qquad❖ \: \sf \:b = 133 \degree`