Question

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees. What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22

Answer 1

Answer:

11.25

Step-by-step explanation:

8x+11=180-79

8x+11=101

8x=90

x=11.25

Answer 2

By angle sum property the value of x in the expression (2 x + 10) +  (6 x + 1) +79 =180  is 11.25

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles.

The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees.

The exterior angle to the bottom left angle is (6 x + 1) degrees.

By angle sum property

(2 x + 10) +  (6 x + 1) +79 =180

8x+11 + 79 =180

8x+11=180-79

8x+11 =101

8x = 90

x = 11.25

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