Math, asked by lakshmi9886498266, 9 months ago

what is this answer ​

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Answered by Explorer123
1

Answer:

ANGLE Q = 30  

Step-by-step explanation:

Angle Q = 180- (Angle p + Angle R )

ANGLE Q = 180- (65+85)

ANGLE Q = 180- 150

ANGLE Q = 30

Answered by Brâiñlynêha
0

\huge\mathbb{\underline{SOLUTION:-}}

\bold{Given;-}\begin{cases}\sf{A\triangle PQR}\\ \sf{ \angle P=65{}^{\circ}\:\:\:\: \angle R=85{}^{\circ}}\end{cases}

  • We have to find the angle Q

  • We know that the

\boxed{\sf{Sum\:of\:angles\:of \triangle=180{}^{\circ}}}

Now :-

\bf\underline{\red{According\:to\: Question}}

\sf\implies 180{}^{\circ}=\angle P+\angle Q+\angle R\\ \\ \sf\implies 180{}^{\circ}=65{}{\circ}+85{}^{\circ}+\angle Q\\ \\ \sf\implies 180{}^{\circ}=150{}^{\circ}+\angle Q\\ \\ \sf\implies 180{}^{\circ}-150{}^{\circ}=\angle Q\\ \\ \sf\implies 30{}^{\circ}=\angle Q

  • The third angle of triangle which is angle Q is 45°

\boxed{\sf{\purple{\angle R=30{}^{\circ}}}}

#BAL

#answerwithquality

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