Question

Find the measure of angle ABD

Answer 1

137

Explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137