Question

How to solve sum no 16 from the attachment given below??

Answer 1

Answer:

according to question :-

angle ABC = 60 degree

angle BAC = 30 degree

so

angle BAC + ABC + ACB = 180 degree (angle sum property)

30 + 60 + angle 5 = 180

angle 5 = 180 - 90 = 90 degree

now

angle 1 = 180 - 90 (linear pair)

angle 1 = 90 degree

now since it is said that

angle 3 = 4

so let angle 3 be x so 4th will be also x now

angle 1 + x + x = 180 (angle sum property)

90 + x + x = 180

2x = 180-90

x = 90/2 = 45

angle 3 = x = 45

angle 4 = x = 45

now angle 2 = 180 - angle 3 (linear pair)

angle 2 = 180 - 45 = 135

so angle 1 = 90 degree

angle 2 = 135 degree

angle 3 = 45 degree

angle 4 = 45 degree

angle 5 = 90 degree

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