The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
(6 - 1)
20°
(x + 14)
What are the measures of angles A and C?
Enter your answers in the boxes
mZA=
mZC=

Question:

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure

A (6x−1)°

B 20°

C (x + 14)°

What are the measures of angles A and C? Enter your answers in the boxes.

m∠A= º

m∠C= º

The measures of the angles A and C are and

Explanation:

The measures of angles of ΔABC are , and

By angle sum property, we have,

Thus, substituting in , we get,

Also, substituting in   , we get,

Hence, the value of A and C are and

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.