what is the value of the missing angle?

120
130
155
720

what is the area of the triangle?

13.2 ft^2
19.575 ft^2
20.25 ft^2
39.15 ft^2

Question 1.

Formula for the sum of the measures of the interior angles of an n-sided polygon:

S = 180° · (n – 2)

A hexagon has 6 edges (hence 6 interior angles), so for this question, the that sum is

S = 180° ·(6 – 2) (n = 6)

S = 180° · 4

S = 720° <——— sum of the interior angles of a hexagon.

Then, just sum all the measures of the interior angles and it must be equal to 720°:

150° + 95° + 105° + 145° + 95° + x = 720°

590° + x = 720°

x = 720° – 590°

x = 130° <——— this is the measure of the missing angle.

The second option is the correct: 130°.

—————

Question 2.

• length of the triangle's base: b = 8.7 ft;

• length of the corresponding height: h = 4.5 ft.

The area of the triangle is given by this formula. Just plug in values:

b × h
A = ————
2

(8.7 ft) × (4.5 ft)
A = —————————
2

8.7 × 4.5
A = —————— ft²
2

39.15
A = ———— ft²
2

A = 19.575 ft² <——— this is the correct answer (second option).

I hope this helps. =)

what is the value of the missing angle? 120 130 155 720 what is the area of the triangle? 13.2 ft^2 19.575 ft^2 20.25 ft^2 39.15 ft^2

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what is the value of the missing angle?

120
130
155
720

what is the area of the triangle?

13.2 ft^2
19.575 ft^2
20.25 ft^2
39.15 ft^2