Question

PQRS is a rhombus in which the diagonal PR is produced to T. if angle
SRT = 152°, find x, y and z.
​

Answer 1

Answer:

z= 152°. and y=90°

Step-by-step explanation:

diagonals of a rhombus are perpendicular bisector of each other.

therefore, y= 90°

now,

angle SRT + angle SRP = 180°. ....linear pair

angles

152+ x=180

x =180-152

=28

therefore angle SRP is 28°

angle SRP + angle SPR =180°. ....interior angle

28+×=180

× = 180- 28

× = 152

therefore z is 152°

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