Quadrilateral HALK is congruent to quadrilateral FORT. MZH = 60°. m2L = 152°, and mzt = 42°. What is mzA?

mzA=

degrees

m∠A = 106°

Step-by-step explanation: Congruent Quadrilaterals are defined as a quadrilateral with equal corresponding sides and corresponding angles have the same value.

The figure below shows the two quadrilaterals and its corresponding angles.

As it is observed, m∠T corresponds to m∠K, which means they have the same value.

The sum of internal angles of a quadrilateral is 360°.

m∠A will be:

x + 60 +152 + 42 = 360

x = 360 - 254

x = 106

Angle m∠A at quadrilateral HALK measures 106°.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

5104.38 inches

step-by-step explanation: