Question

Use the diagram to find the measures of each angle. a. тZABG degrees b. mZEBB degrees c. m ZABE degrees А E B C 50° D

Answer 1

Green angles has the same measure because are opposite to the vertex the same to the yellow angles

to fidn the measure of the yellow angles we know the line EC is right then the masure on angles is 180° so if we sum yellow and green angle we obtain the line EC

then

`\begin{gathered} \text{EBA}+\text{ABC}=180 \\ 50+\text{ABC}=180 \end{gathered}`

and solve for ABC

`\begin{gathered} \text{ABC}=180-50 \\ \text{ABC}=130 \end{gathered}`

Then ZABC (yellow angle) is 130

ZEBD is another yellow angle(because is opposite to the vertex with ABC) then the masure is 130° too

ZABE is another green angles(because is opposite to the vertex with DBC) then the measure is 50° too