Find m∠ABD if the m∠CBD is 70.

Question

asked Dec 10, 2024 121k views

2 Answers

Jeffrey Kegler · Answer 1 · 2024-12-14T23:30:42+0000

Answer: 110°

Explanation:

Looking at the diagram, we can see that the two angles are supplementary.

To find the measure of the missing angle, we'll need to 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
$\bf{m\angle CBD}$ is 70°. So, our equation is:

$\bf{m\angle ABD+70=180}$

subtract 70 from both sides:

$\bf{m\angle ABD=110^o}$