What is the measure of angle a? (click for picture)

57.5°

Step-by-step explanation:

Δ ADE and Δ ABC are similar, thus the ratios of corresponding sides are equal, that is

= , that is

= ( cross- multiply )

15AC = 4(7 + AC)

15AC = 28 + 4AC ( subtract 4AC from both sides )

11AC = 28 ( divide both sides by 11 )

AC =

Using the tangent ratio in right Δ ABC to find ∠A

cosA = = = = , thus

∠A = () ≈ 57.5° ( to 1 dec. place )

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

happy to

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