Answer:
Step-by-step explanation:
First we know triangle WXY is an equilateral which means all its angles are 60 degrees.
Next we know triangle WZY is an isosceles so it has 2 angles that are equal to each other.
Since angle Z is an obtuse angle. We can calculate the other angles which we will assume are equal because 138+138 is greater than 180 degrees.
180-138 = 42
42/2 = 21 <-- divide by 2 because we know we're looking for 2 angles
For the angles of WXY.
60-21 = 39
Therefore
Angle I = 60
Angle 2 = 39
Angle 3 = 21
Angle 4 = 39
Angle 5 = 21
Answer:
m<1=60°
m<2=39°
m<3=21°
m<4=39°
m<5=21°
Step-by-step explanation:
since triangle WZY is isosceles, this means that the measure of angle 3 is the same as measure of angle 5.
to find out what they equal:
180-138=42.
then divide by 2 since angle 3 and angle 5 are congruent.
42/2=21°.
m<3 =21° and m<5 =21°
triangle WXY is equilateral, and an equilateral triangle has 60° angles.
so, m<1=60°.
however, to find m<2 and m<4 we would have to subtract 60° from 21°:
60°-21°=39°.
so, m<2 =39°, and m<4=39°