in right angled triangle abc angle b equal to 90 degree and angle c is 15 more than twice the angle find the measure of all angles of triangle
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Answer:
the measure of all triangle is 180 degree
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1
Answer:
Correct option is
A
∠B=∠C=45
∘
AB=AC [Given ]
∠A=90
o
∴ ∠C=∠B [ Angles opposite to equal sides are equal ] ---- ( 1 )
In △ABC,
∠A+∠B+∠C=180
o
[ Angles sum property of triangles ]
⇒ 90
o
+∠B+∠C=180
o
⇒ 90
o
+∠B+∠B=180
o
[ From ( 1 ) ]
⇒ 2∠B=90
o
⇒ ∠B=45
o
∴ ∠B=∠C=45
o
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