Question

find the measure of all angles of a parallelogram if one angle is 15 less than twice the smallest angle ​

Answer 1

Answer:

65° , 115° ,65° , 115°

step by step explanation:

let smallest angle be x

then other angle = 2x-15

we know that :-

opposite angles of parallelogram are equal

therefore :-

x + x + 2x-15 + 2x-15 = 360° (angle sum property)

2x + 2x-15 + 2x-15 = 360°

6x - 30 = 360°

6x = 390°

x = 360 / 6

x = 65°

2x - 15 = 2 × 65 - 15

= 115°

angles of paraelogram are 65° , 115° , 65° , 115°

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