Question

Need help with this quick. Find the measure of B and the value of z if ABC~DEF.

Answer 1

Z = 5

And B = 45

This is because all angles in any triangle is equivalent to 180 degrees. When you have a similar triangle, the angle measures remain consistent, only the side lengths change. Therefore, we know that:

Angle D = 105 degrees
Angle C = 30 degrees
And angle B = (10z - 5) degrees

105 + 30 = 135

180 - 135 = 45

10z - 5 = 45

10z = 50

z = 5

So, angle B = 45 and z = 5