Question

In one angle of a parallelogram is 30 less than other angle , then find the larger angle is

Answer 1

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We know that the opposite angles of a parallelogram is equal.

let the 1st angle measures x° --- [smaller angle]
therefore,
measure of other angle: (x+30)

from angle sum property,

x + x + 30 = 180
=> 2x + 30 = 180
=> 2x = 150
=> x = 75°

smaller angle measures = 75°

therefore,

measure of larger angle: (75 + 30)° = 105°

hence, measure of larger angle = 105°


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Answer 2

let 1 St angle be X
therefore second angle is X - 30
now ,
we know sum of corresponding angles is 180
therefore X + (X - 30) = 180
2x = 180+30
2x = 210
X =105

thus 1st angle is 105 and
2nd angle is 75