Question

1. The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle 90"}
2) of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the
angles .
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Answer 1

Answer:

1.)45°for both angles

2.)the angles are 30° ,60° ,and 90°.

Step-by-step explanation:

1.)the sum of two angles of the triangle is equal to its third angle.

sum of all the angles of a triangle=180°

measure of the third angle is 90°

so let the two other angles be=x+x=2x

therefore

2x+90=180°

2x=180-90

2x=90°

x= 90 divided by 2

x=45°

therefore the angles are 45°each

2.)sum of all the angles of a triangle is 180°

let the smallest angle be=x

(one angle is twice the smallest and one is three times the smallest angle)

let the second angle be=2x

let the third angle be=3x

therefore

x+2x+3x=180°

6x=180°

x=180 divided by 6

so, x= 30°

the angles are:

x=30°

2x= 30 multiplied by 2 = 60°

3x= 30 multiplied by 3 = 90°

hope this helps you :)