AndreNunesF02
Answered

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What is the value of x and y in the following figure?

What Is The Value Of X And Y In The Following Figure class=

Sagot :

Answer:

Step-by-step explanation:

x = 75°

75° + 75° + a = 180°

a + 150° = 180°

a = 180° - 150°

a = 30°

y + 30° = 90°

y = 90° - 30°

y = 60°

I hope I've helped you

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex] \boxed{x = 75 \degree}[/tex]

and

[tex] \boxed{y = 60 \degree}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As it's shown in the figure, the sides opposite to x and Angle 75° are equal. So the corresponding Angles are also equal to one another.

that is ~

  • [tex]x = 75 \degree[/tex]

I have taken an angle and marked it as " m " in the attachment.

So, according to Angle sum property of a triangle,

  • [tex]m + x + 75 \degree = 180 \degree[/tex]

  • [tex]m + 75 \degree+ 75 \degree= 180 \degree[/tex]

  • [tex]m + 150 \degree= 180 [/tex]

  • [tex]m = 180 \degree - 150 \degree[/tex]

  • [tex]m = 30 \degree[/tex]

now, it's given that the sum of Angle y and Angle m is 90°

hence,

  • [tex]m + y = 90 \degree[/tex]

  • [tex] 30 \degree + y = 90 \degree[/tex]

  • [tex]y = 90 \degree - 30 \degree[/tex]

  • [tex]y = 60 \degree[/tex]
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