an angle measures 10* less than the measure of its complementary angle. find the measure of both angles

Original Angle = 40 degrees, Complementary Angle = 50 degrees.

Step-by-step explanation:

1. Set the complementary angle as Angle A and the original angle as Angle B.

2. Due to complementary relationships:

A + B = 90

3. Due to given information:

A - 10 = B

4. Substitute:

A + (A - 10) = 90

5. Simplify, Solve

2A - 10 = 90

2A = 100

A = 50 degrees (This is the complementary angle)

B = 90 - A = 40 degrees

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.