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Find angle SPT, angle PQT, angle, value of PR, value of X,

Find angle SPT, angle PQT, angle, value of PR, value of X,-example-1
User Kevin Rahe
by
2.8k points

1 Answer

7 votes
7 votes

Given

Graph

Procedure

There are six important properties of parallelograms to know:

Opposite sides are congruent

Opposite angles are congruent

Consecutive angles are supplementary

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

First angle SPT

SPT = QRT

QRT = 180 - 81 -30

QRT = 69

SPT = 69

Value of x

20 = 4x - 12

4x = 20+12

4x = 32

x = 32/4

x = 8

Value of PR

5y-36 = y

4y = 36

y = 36/4

y = 9

PR = 2y

PR = 18

User HighLife
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2.2k points