Mathematics
Grade9
Easy

Question

 The value of X and Y in the given triangles are ____________. 
A picture containing text, lawn mower

Description automatically generated

  1. x = 30°y = 90°
  2. x = 30°, y = 6
  3.  x = 30°, y = 3
  4. x = 60°, y = 6

hintHint:

Compare both the triangles to identify the value of x and use the sum of the angle of a triangle to get the value of y.

The correct answer is: x = 30°y = 90°


    H e r e comma space triangle P Q R space approximately equal to space triangle S T U
H e n c e comma
angle R space approximately equal to space angle U space equals space x space equals space 30 degree

N o w comma space w e space k n o w space t h a t space t h e space s u m space o f space t h e space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree

angle S space plus space angle T space plus space angle U space equals space 180 degree
y space plus space 60 degree space plus space 30 degree space equals space 180 degree
y space plus space 90 degree space equals space 180 degree
y space equals space 180 degree space minus space 90 degree
y space equals space 90 degree

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