Question

Can you help me find the measure of each angle? Diagram attached

Answer 1

<ABD = 100° and <CBD = 80°

Explanation:

From the given figure we can see a linear pair

To find the value of x

The given two linear pair angles are,

1). 5x°

2) 4x°

The sum of linear pair angles is 180°

Therefore we can write,

5x + 4x = 180

9x = 180

x = 190/9 = 20°

To find two angles

<ABD = 5x = 5 * 20 = 100° and

<CBD = 4x = 4 * 20 = 80°

Therefore two angles are, <ABD = 100° and <CBD = 80°

Answer 2

5x = 100°

4x = 80°

Explanation:

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

`5x+4x=180`

`9x=180`

`x=(180)/(90)`

`x=20`

Finding the measure of both the angles:

`5x = 5(20) =` 100°

`4x = 4(20) =` 80°