Question

ASAP Find the measure of an angle if its supplement is 4 more than twice the measure of the complement.

Answer 1

Answer:

4 deg is the answer

Step-by-step explanation:

know these things

supplementary angles add up to 180 deg and

complementary angles add up to 90 deg.

now, let the unknown angle be x

supplementary angle of x = S = 180 - x

and

complementary angle of x = C = 90 - x

from the given statement

$s \: = 2 \times c \: + 4 \\ (180 - x) = (2 \times (90 - x)) + 4 \\ 180 - x = 180 - 2x + 4 \\ - x + 2x = 180 + 4 - 180 \\ x = 4$