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Angle a of a triangle is 1/2 the size of angle C. Angle B is 3/4 the size of angle c. If angle c measures 80 degrees, what are the measures of angle A and B

Respuesta :

Answer:

Angle A is 40 Degrees

Angle B is 60 Degrees

Step-by-step explanation:

Angle C = 80 Degrees.

Angle A = 1/2 x Angle C ( 1/2 *80)

Angle B = 3/4 x Angle C (3/4 * 80)

Angle A:

80 * 0.5 = 40 (half of 80 since 1/2) = 40 Degrees

Angle B:

80 * 0.75 = 60 (three fourths of 80 since 3/4) = 60 Degrees

Check:

All angles of a triangle equal to 180 Degrees for any Triangle.

Therefore;

Angle A + Angle B + Angle C = 180 Degrees

40 Degrees + 60 Degrees + 80 Degrees = 180 Degrees

180 Degrees = 180 Degrees

So it checks out, so voila! :)

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