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Vedmedyk [2.9K]
3 years ago
6

I need help with these questions.

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

  • See below

Step-by-step explanation:

<h3>Q13</h3>

The greater the angle the greater the opposite side

<u>Sides in ascending order:</u>

  • AB = 17, AC = 18, BC = 21

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q14</h3>

<u>As above, sides in ascending order:</u>

  • AB = 15, AC = 16, BC = 17

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q15</h3>

<u>Exterior angle equals to sum of non-adjacent interior angles</u>

  • 142° = x + 66°
  • x = 142° - 66°
  • x = 76°
<h3>Q16</h3>

<u>Same subject and isosceles triangle:</u>

  • x + x = 158°
  • 2x = 158°
  • x = 79°
<h3>Q17</h3>

<u>Same subject</u>

  • m∠QSR = m∠QPS + m∠PQS
  • 2x = x + m∠PQS
  • m∠PQS = 2x - x
  • m∠PQS = x

ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles

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