Question

Triangle Sum Theorem HELP ME PLEASE!!!! WILL GIVE BRAINLIEST, THANKS, AND STARS. TO CORRECT ANSWERER, SHOW WORK PLEASE

Answer 1

Step-by-step explanation:

1)

The given triangle is right angled triangle having one of it's angle measured as 90°

Also , The sum of the interior angle of a triangle is 180°.

Hence, in given fig.

90° + 31° + ( 3x - 1 )° = 180

121° +3x° - 1° = 180°

120° + 3x° = 180

3x = 60°

x = 20°

So, the value of x is 20°

and the measure of the angle ( 3x - 1 ) is 3 ( 20 ) - 1 = 60-1 = 59°

2)

As from above question we know that sum of interior angle of a triangle is 180°

applying the same in this question ;

angleA + angle B + angleC = 180°

x + 5x - 8 + 3x + 44 = 180

9x + 36 = 180

9x = 180 - 36

9x = 144

x = 144/9

x = 16

So, the angle B = x = 16°

also, angle A = 5x - 8 = 5 ( 16 ) - 8

= 80 - 8

= 72°

and angle c = 3x + 44

= 3(16 ) + 44 = 48 + 44 = 92°

So, A = 72° , B = 16° and C = 92°

3) [ Refer to the attached file ]

• Right angled triangle :-

Triangle having one of it's angle measured as 90° !!