Question

1. What is the measure of ∠ABC? What is the measure of ∠ABD?

∠ABC =


∠ABD =

Answer 1

ABC = 145 degrees

ABD = 35 degrees

Explanation:

A straight line is 180 degrees, for ABC you start from 0 and count up along the outside number of the half circle. So, therefor, ABC =145.

To solve ABD you subtract 145 from 180 and you get 35 degrees.

Answer 2

`\angle ABC=145\°` and
`\angle ABD=35\°`

Explanation:

According to the given diagram, points C, B and D are in a straight line and AB is a common terminal side of both
`\angle ABC` and
`\angle ABD`.

So,
`\angle ABC` and
`\angle ABD` are pair of linear angles.

In the diagram, we can see that the side
`AB` lies on
`145` from left side and on
`35` from right side.

So,
`\angle ABC=145\°`

and
`\angle ABD=35\°`