Answered

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The measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle.

Sagot :

26jcook

Answer:Measure of the angles are 50, 130, 50 & 130

Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

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Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

2

A

+

30

=

180

−

A

∴

3

a

=

180

−

30

=

150

A

=

50

,

B

=

180

−

A

=

180

−

50

=

130

Measure of the four angles are

50

,

130

,

50

,

130

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