Question

Mand N are mid-points of AB and AC.
Find x if MNC = 3x - 10º and C = x +18°
(in) Find y, if MN = (2y + 3) cm and BC = (3y + 8) cm​

Answer 1

Step-by-step explanation:

In ABC , M and N are midpoints of AB and AC respectively

the line joining the midpoints of two sides of triangle is parallel to the third side

MNC and C become co interior angles

they are supplementry

MNC +C = 180

(3x -10) + ( x +18) = 180

4x +8 = 180

4x =180 - 8

4x = 172

x = 172/4

x = 43

(ii) the line joining the midpoints of two sides of triangle is half of the third side

MN = 1/2 BC

(2y +3) = 1/2 (3y +8)

2(2y +3) = (3y +8)

4y + 6 = 3y + 8

4y - 3y = 8-6

y = 2