Question

13. From adjoining figure, find (i) x (ii) p
(iii) q
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Answer 1

Answer:

(i)Sol:- Angle A = (2x+5)°

Angle B = (3x+55)°

A + B = 180°

=> 2x+5+3x+55=180

=> 8x+60=180

=> 8x=180-60

=> 8x=120

=> x=120÷8

=> x=15

(ii)Sol:- Angle B=3x+55

=3×15+55 (Because x=15)

=45+55

=100

Angle B= Angle D = P

Therefore,

P=100

(iii)Sol:- Angle A=2x+5

=2×15+5 (Because x=15)

=30+5

=35

Angle A= Angle C = q

Therefore,

q = 35

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