Question

l is parallel to M and n is a transversal... if a:b is equal to 4:5 then find the measures of the angles

Answer 1

The co-interior of a is b (refer the attachment)



Here given ratio 4:5

Let a be 4x and b be 5x


We know that sum of co-interior angles is 180°.

Hence a + b = 180°
=> 4x + 5x = 180°
=> 9x = 180°
=> x = 180/9
x = 20°


a = 4x = 4 × 20 = 80°
b = 5x = 5 × 20 = 100°


Angle a = 80°
b = 100°



Hope it helps dear friend ☺️✌️