Question

Two adjacent angles on a straight line are in the ratio 5:4. Find the value of x

Answer 1

Answer:

Assumption:-

Let the angles be 5x and 4x

Facts:-

• The sum of angles on a straight line=180°
• Adjacent angles are supplementary i.e there sum is 180°.

Solution:-

According to question:-

5x+4x=180

9x=180

$x= \frac{180}{9}$

x=20°

If you want to find the angles substitute x

1st angle=5x

=5(20)

=100°

2nd angle=4x

=4(20)

=80°