College

If the measure of angle 4 is [tex]11x[/tex] degrees and angle 3 is [tex]4x[/tex] degrees, what is the measure of angle 3 in degrees?

Three lines intersect to form six angles. From top left, clockwise, the angles are 1, 2 (90 degrees), 3, 4, 5, 6.

A. 6 degrees
B. 24 degrees
C. 66 degrees
D. 90 degrees

Answer :

The measure of angle 3 is 24 degrees. The correct answer would be an option (B).

What are complementary angles?

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Given that the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees

Here, the pairing of angles sums up to 90° then they are called complementary angles.

11x + 4x = 90

15x = 90

x = 90/15

Apply the division operation, and we get

x = 6

So, angle 3 is 4 × 6 = 24 degrees

Learn more about complementary angles here:

brainly.com/question/5708372

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Answer:

b 24

Step-by-step explanation:

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