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nexus9112 [7]
3 years ago
13

HURRY!!!!!

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

The bases of a trapezoid are parallel

The angles,

(9x) \degree

and

(7x + 4) \degree

are same side interior angles. These two angles are supplementary.

(7x + 4) + 9x = 180 \degree

7x + 9x = 180 - 4

16x = 176

Divide both sides by 16.

x =  \frac{176}{16}

x = 11

lubasha [3.4K]3 years ago
6 0

Answer:

x=11

Step-by-step explanation:

We have been given that a carpenter cuts the corners of a rectangle to make the  trapezoid. We are asked to find the value of x.

Since trapezoid is made of rectangle, so both bases will be parallel to each other.

We know that two consecutive interior angle of parallel lines are supplementary. We can set an equation to solve for x as:

9x+7x+4=180

16x+4=180

16x+4-4=180-4

16x=176

\frac{16x}{16}=\frac{176}{16}

x=11

Therefore, the value of x is 11.

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