Math, asked by lamsongeashvini, 6 hours ago

In parallelogram PQRS , if <Q = 40° , Find the measure of the other angles. plz give mi full step answer...plz​

Answers

Answered by shubhangipudke4
3

Answer:

In parallelogram PQRS

PS || RQ

ATQ

Angle P = 4O + A Q

Let angle Q = xX

angle P = 4O + x

AngleQ+angleP= 180 [ PS||RQ]

x + 40 + x = 180

2x = 140

x = 70

=> angle Q = 70

angle P = 70 + 40 = 110

Hope it helps!

Answered by ItzShizuka50
80

Answer:

★Given:

  • In parallelogram PQRS , if <Q = 40° , Find the measure of the other angles.

★To Find:

  • Measure of other angles?

★Solution:

PQRS,

PS || RQ

Angle P = 40 + Angle Q

 \sf{  : \implies \: Let  \: angle \:  Q = x}

angle P = 40 + x

AngleQ+angleP= 180 [ PS||RQ]

x + 40+x = 180

x = 70

 \sf{  : \implies angle \:  Q = 70 }

 \sf{  : \implies \: angle \:  P = 70 + 40 }

\color{red}\boxed{\sf = 110}

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