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in two adjacent angles of a parallelogram, if one angle is three times of the other, then find the measures of the two diagonals?

A. 45⁰, 135⁰
B. 36⁰, 144⁰
C. 65⁰, 115⁰
D. 72⁰, 108⁰​

Sagot :

Answer:

Step-by-step explanation:

A. 44° and 136°

Let x = smaller angle

Larger angle = 3x + 4

Fact to know: A linear pair is a pair of consecutive angles whose measures sum up to 180⁰

Therefore we can say that 3x + 4 added to x must yield 180⁰

(3x + 4) + x = 180

4x + 4 = 180

4x = 176

x = 44

Using this value of x we will calculate the measure of the larger angle by substituting it to 3x + 4

3(44) + 4 = 132 + 4 = 136

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