Question

Given that m/_a=40 and m/_b=61 find that the measure of angles x and y

Answer 1

Answer:
y = 140, x = 159
Explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x

Answer 2

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

• x = 159°

• y = 140°

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

`\qquad❖ \: \sf \:y + a = 180`

( linear pair )

`\qquad❖ \: \sf \:y + 40 = 180`

`\qquad❖ \: \sf \:y = 180 - 40`

`\qquad❖ \: \sf \:y = 140 \degree`

And

`\qquad❖ \: \sf \:x = a +( 180 - b)`

( Exterior angle = sum of opposite interior angles )

`\qquad❖ \: \sf \:x = 40 + (180 - 61)`

`\qquad❖ \: \sf \:x = 40 + 119`

`\qquad❖ \: \sf \:159 \degree`

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

• x = 159°

• y = 140°