Select the correct answer. The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the
measure of the second angle. Write system of equations that can be used to determine the measure of the first d, angle, a, and the measure of
the second angle, b.

A. a+b=90, 2b-15=a

B. a+b=90, 2b+15=a

C. a+b=90, a-2b=15

D. a+b=90, 2a-15=b

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A

Step-by-step explanation:

The first angle (a) is 15 less than twice the second angle (b)

So, twice the second angle is 15 more than the first:

2b = a+15

Simplify:

2b - 15 = a

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.