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likoan [24]
3 years ago
14

Help please it’s due

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0

Step-by-step explanation:

Since ABC is a triangle,

Angle A + Angle B + Angle C = 180 (Sum of angles in a triangle)

given Angle A = 3x + 1

Angle B = 4x - 17

Angle C = 5x - 20

3x + 1 + (4x - 17) + (5x - 20) = 180 \\ 3x + 4x + 5x + 1 - 17 - 20 = 180 \\ 12x - 36 = 180 \\ 12x = 180 + 36 \\ 12x = 216 \\ x = 216 \div 12 \\  = 18

Now substitute x into all 3 angles.

A = 3(18) + 1 = 54 + 1 = 55 degrees

B = 4(18) - 17 = 72 - 17 = 55 degrees

C = 5(18) - 20 = 90 - 20 = 70 degrees

Since Angle A = Angle B but not equal to Angle C,

Triangle ABC is a isosceles triangle as 2 angles must be the same for it to be a isosceles triangle.

Svetach [21]3 years ago
6 0

Answer:

it is C

Step-by-step explanation:

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