Question

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Answer 1

Question (6)Answer:

x=10

and 95 degrees

Step-by-step explanation:

2x+15=7x+25

8x-7x=10

and exterior angel = 8 x 10+15 =95

Answer 2

Answer:

6. x = 10, Exterior angle = 95.

5. <M = 76°

Step-by-step explanation:

6. Sum of two interior angles angles equals their opposite exterior angle.

hence:

(3x + 20) + (4x + 5) = 8x + 15

7x + 25 = 8x + 15

25 - 15 = 8x - 7x

x = 10.

And the exterior angle = 8(10) + 15 = 80 + 15 = 95.

5. let x represent <M.

Since the triangle is an isosceles triangle <M = <N

hence <N will also be represented by x.

Sum of the interior angles of a triangle is 180°

hence;

28 + x + x = 180

2x = 180 - 28

2x = 152

x = 76°

hence <M = 76°.