2 years ago

What is the answer A B C D

Mathematics

1 answer:

Kobotan [32]2 years ago

8 0

Answer:

the answer is C

Step-by-step explanation:

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never [62]

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40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

$x + 55$

$x + 65$

$x + 120$

The sum of all angles in a quadrilateral = 360°.

Therefore, $(x + 55) + (x + 65) + (x + 120) = 360$

Solve for x

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$3x + 240 - 240 = 360 - 240$

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$x = 40$

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

$x + 55 = 40 + 55 = 95$

$x + 65 = 40 + 65 = 105$

$x + 120 = 40 + 120 = 160$

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2 years ago