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2 years ago

The quadrilateral ABCD is a parallelogram. The value of a is?

Mathematics

1 answer:

Nataly_w [17]2 years ago

6 0

Step-by-step explanation:

in a parallelogram, opposite angles are equal..

so C is 4a + 22. and B is 6a - 12.

sum of interior angles in a quadrilateral = 360

4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360

20a + 20 = 360

20a = 340

a = 17

sum of angles on a straight line = 180

B + x = 180

6 ( 17) - 12 + x = 180

102 + × = 180

× = 180 - 102

× = 78

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10. angle GHI is an isosceles triangle with GI HI. IF GH is three more than x, HI is 17 less than four

svp [43]

Answer:

GH = 17 units

GI = 39 units

HI = 39 units

Step-by-step explanation:

We are given the following information in the question:

Triangle GHI is an isosceles triangle.

$GI = HI$

The measures of side are:

$GH = 3 + x\\HI = 4x-17\\GI = 6x - 45$

It is given that

GI = HI

$4x - 17 = 6x -45\\6x - 4x = 45-17\\2x = 28\\x = 14$

Thus, the measures of three sides are:

$GH = 3 + x=14+3 = 17\\HI = 4x-17 = 4(14)-17 = 39\\GI = 6x - 45=6(14) - 45 = 39$

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3 years ago

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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