72.1k views
0 votes
What are the measures of angles 1,2, and 3?

What are the measures of angles 1,2, and 3?-example-1
User Staff
by
3.1k points

1 Answer

10 votes

Answer:


m\angle 1=50\degree


m\angle 2=70\degree


m\angle 3=50\degree

Explanation:


m \angle \: 1 = 180 \degree - (60 \degree + 70 \degree) \\ (by \: angle \: sum \: property \: of \: a \: \triangle) \\ \implies \: m \angle \: 1 = 180 \degree - 130 \degree \\ \\ \implies \: \huge \red{ m \angle \: 1 = 50 \degree} \\ \\ \huge \purple{ m \angle \: 2 = 70 \degree } \\ (alternate \: \angle s) \\ \\ m \angle \: 3 =m \angle \: 1 \\ (alternate \: \angle s) \\ \\ \implies \: \huge \orange{ m \angle \: 3 = 50 \degree}

User Maxhb
by
3.7k points