Answered

IDNLearn.com: Your go-to resource for finding expert answers. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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

Given That Ma40 And Mb61 Find That The Measure Of Angles X And Y class=

Sagot :

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
GʀɪᴍRᴇᴀᴘᴇʀidn

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

  • x = 159°

  • y = 140°

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

[tex]\qquad❖ \: \sf \:y + a = 180[/tex]

( linear pair )

[tex]\qquad❖ \: \sf \:y + 40 = 180[/tex]

[tex]\qquad❖ \: \sf \:y = 180 - 40[/tex]

[tex]\qquad❖ \: \sf \:y = 140 \degree[/tex]

And

[tex]\qquad❖ \: \sf \:x = a +( 180 - b)[/tex]

( Exterior angle = sum of opposite interior angles )

[tex]\qquad❖ \: \sf \:x = 40 + (180 - 61)[/tex]

[tex]\qquad❖ \: \sf \:x = 40 + 119[/tex]

[tex]\qquad❖ \: \sf \:159 \degree[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

  • x = 159°

  • y = 140°
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.