Question

A is twice as large as its supplement b.

A) a is twice as larger than its supplement b.
B) a are twice as large as its supplement b.
C) a is twice as large as their supplement b.
D) a is twice as large as it's supplement b.

Answer 1

In geometry, angle a, being twice as large as its supplement b, leads to a = 120 degrees and b = 60 degrees after setting up the equation a + b = 180 and substituting a = 2b into it. The correct answer is option D.

Step-by-step explanation:

The student's question pertains to the concept of supplementary angles in geometry. In this case, angle a is stated to be twice as large as its supplement b.

Therefore, if b is the supplement, then a = 2b. Since the sum of supplementary angles is 180 degrees, we have the equation a + b = 180. Substituting the relationship between a and b, we get 2b + b = 180, leading to 3b = 180. Solving for b we get b = 60 and therefore a = 2b = 120 degrees.