Question

B
37. (i) In AABC, AC = BC and 2C - 110°. Find ZA and ZB.
(ii) In the given figure, POR is a line. Find the value of a.
110°
annen
(3+592a - 250)
R

Answer 1

Answer:

i) As AB=AC hence ∠B=∠C (Equal sides AB=AC have equal opposite angles)

Using theorem, Sum of interior angles of a triangle is 180

o

.

Therefore ∠A+∠B+∠C=180

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⇒110

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+2∠B=180

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[GIven ∠A=110

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]

⇒∠B=35

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Hence, ∠B=∠C=35

ii) It has been given that POR is a straight line.

∴∠POQ+∠QOR=180

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⇒(3a+5)

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+(2a−25)

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=180

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⇒5a=180

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+20

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=200

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⇒a=

5

200

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⇒a=40

o