Which of the following sets of numbers could not represent the three sides of a triangle? Answer Multiple Choice Answers left curly bracket, 8, comma, 18, comma, 24, right curly bracket{8,18,24} left curly bracket, 6, comma, 10, comma, 15, right curly bracket{6,10,15} left curly bracket, 11, comma, 19, comma, 29, right curly bracket{11,19,29} left curly bracket, 12, comma, 19, comma, 33, right curly bracket{12,19,33}

{12,19,33}

Which of the following sets of numbers could represent the three sides of a triangle?

Answer
Multiple Choice Answers
left curly bracket, 6, comma, 20, comma, 28, right curly bracket{6,20,28}
left curly bracket, 4, comma, 11, comma, 15, right curly bracket{4,11,15}
left curly bracket, 9, comma, 19, comma, 30, right curly bracket{9,19,30}
left curly bracket, 5, comma, 15, comma, 19, right curly bracket{5,15,19}

{5,15,19}

Which of the following sets of numbers could not represent the three sides of a triangle?

Answer
Multiple Choice Answers
left curly bracket, 15, comma, 21, comma, 33, right curly bracket{15,21,33}
left curly bracket, 13, comma, 27, comma, 38, right curly bracket{13,27,38}
left curly bracket, 15, comma, 27, comma, 43, right curly bracket{15,27,43}
left curly bracket, 6, comma, 15, comma, 20, right curly bracket{6,15,20}

{15,27,43}

Which of the following sets of numbers could not represent the three sides of a triangle?

Answer
Multiple Choice Answers
left curly bracket, 14, comma, 17, comma, 28, right curly bracket{14,17,28}
left curly bracket, 6, comma, 19, comma, 25, right curly bracket{6,19,25}
left curly bracket, 10, comma, 16, comma, 25, right curly bracket{10,16,25}
left curly bracket, 13, comma, 17, comma, 28, right curly bracket{13,17,28}

{13,17,28}

A side of the triangle below has been extended to form an exterior angle of 117°. Find the value of xx.

117°

The sum of the angles in a triangle is always 180 degrees.

Since the exterior angle of a triangle is equal to the sum of the two opposite interior angles, we know that:

117° = x + (180 - x)
117° = 180 - x + x

Therefore, x = 180 - 117
x = 63°

So, the value of x is 63°.