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Steps to derive the correct measurement of each of the angles :

In triangle 1 :

Given :

Sum of all angles in a triangle = 180°

Which means :

Thus, the measure of angle 1 = 77.7°

Since the sum of all angles (77.7+52.2+50.1=180°) equals 180° we can conclude that we have found out the correct value of angle 1.

Therefore, the m∠1 = 77.7°

In triangle 2 :

Given :

Let the measure of angle B be x.

Then, the measure of angle C will also be x.

Which means the sum of angle B and C will be equal to 2x.

That means :

Thus, the measure of Angle B = 63°

Measure of angle C = 63°

In triangle 3 :

Given :

Which means :

= m∠2 + 112° = 140° (exterior angle property)

Thus, the measure of angle 2 = 28°

= m∠1 + m∠2 + m∠3 = 180°

Thus, the measure of angle 1 = 40°

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

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step-by-step explanation: