helpfulAnswer:
118°Step-by-step explanation:
In ∆ABD, since AB = BD, <BAD and <BDA will also be equal since the base angles are equal for equal sides in a triangle.
So,m <ADB = 61°.
Using triangle's sum property,
m<ABD + m<ADB + m<BAD = 180°
m<ABD + 61° + 61° = 180°
m<ABD = 180° - 122 = 58°
Now, ∆BCD is an equilateral triangles since it's all sides are equal. For equilateral triangle, the measure of all three angle is 60° each.
So, m<CBD = 60°
Now, we can see that,
m<ABC = m<ABD + m<CBD
Putting values,
m<ABC = 58° + 60° = 118°
Thus,
The measure of <ABC is 118°.
0
rating
Get help with homework
