Question

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A triangle has 3 angles measures of (3)°,(2+15)°, and (3+5)°. Find each angle. (The SUM of the angles should equal 180°.

Answer 1

Explanation:

given,

measures of 3 angles of triangle,

angle 1 = 3x

angle 2 = 2x + 15°

angle 3 = 3x + 5 °

sum of the angles should be 180°

so,

angle 1 + 2 + 3 = 180°

after inserting the values we got,

3x + 2x + 15 + 3x + 5 = 180°

→ 8x + 20 = 180°

→ 8x = 180 - 20 = 160°

→ x = 160/8 = 2

→ x = 20

therefore,

angle

1 = 3x = 3 × 20 = 60

2 = 2x + 15 = 2(20) + 15 = 55°

3 = 3x + 5 = 3(20) + 5 = 65°

as given,

their sum should be 180° so,

60 + 55 + 65 = 180°

hope this answer helps you dear....

I guess dear the measure of the angles of traingle have x in their expression!...if they have than this is the answer!