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Bogdan [553]
1 year ago
9

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

Mathematics
2 answers:
brilliants [131]1 year ago
7 0
Answer:
y = 140, x = 159
Step-by-step 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
Lerok [7]1 year ago
6 0

\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°
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