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°.
