Question

How do I solve this problem?

Answer 1

Answer:

B) 30

Step-by-step explanation:

The shaded area is a sector.  The area of a sector is:

A = πr² (θ / 360)

where r is the radius and θ is the angle of the sector in degrees.

Given that A = 24π and r = 6:

24π = π (6)² (θ / 360)

θ = 240°

Since the angle of the shaded part is 240°, that means the angle of the rest of the circle is 360° − 240° = 120°.

Angles of a triangle add up to 180°, so:

120° + x + x = 180°

x = 30°

Answer 2

The answer is C
explanation:
In all triangles the interior angles add up to 180 degrees. the top angle of this triangle is 90 degrees and 180-90=90, so the bottom 2 angles add up to 90. They are symmetrical, so you can just divide 90 by 2 who is 45 and you have to it answer.