Question

Complete the statements to find the measurements of ∠a and ∠b .

Answer 1

Answer:

Part a) $m<a=60\°$

Part b) $m<b=60\°$

Step-by-step explanation:

Part a) we know that

$m<a+120\°=180\°$ -----> by supplementary angles

solve for m<a

$m<a=180\°-120\°=60\°$

Part b) we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

in this problem

$m<a+m<b+60\°=180\°$

we have

$m<a=60\°$

substitute and solve for m<b

$60\°+m<b+60\°=180\°$

$m<b+120\°=180\°$

$m<b=180\°-120\°=60\°$

therefore

The triangle of the figure is an equilateral triangle ( has three equal angles and three equal sides)

Answer 2

Answer:

Step-by-step explanation: