Question

Find m∠CBD if m∠ABD is 115.​

Answer 1

Answer: 65°

Explanation:

Looking at the diagram, we can see that the two angles are supplementary; so, to find the measure of the missing angle, we'll set up an equation.

Recall that the sum of two supplementary angles is 180°.

Therefore,
`\bf{m\angle ABD+m\angle CBD=180}`

We know that
`\bf{m\angle ABD}` is 115°.

`\bf{115+\angle ABD=180}`

`\bf{\angle ABD=180-115}`

`\bf{\angle ABD=65}`

Therefore, the measure of angle ABD is 65 degrees.