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dusya [7]
2 years ago
7

Please help for 50 points with solution

Mathematics
2 answers:
Irina-Kira [14]2 years ago
6 0

Answer:

(d)  60°

Step-by-step explanation:

<u>Theorems</u>

  • Interior angles of a triangle sum to 180°
  • Angles on a straight line sum to 180°

Therefore, the <u>exterior angle</u> of a triangle is <u>equal to the sum</u> of the <u>two non-adjacent interior angles</u> of the triangle.

⇒ (a + 20) + (a + 10) = (a + 90)

⇒ a + 20 + a + 10 = a + 90

⇒ 2a + 30 = a + 90

⇒ 2a + 30 - a = a + 90 - a

⇒ a + 30 = 90

⇒ a + 30 - 30 = 90 - 30

⇒ a = 60

guapka [62]2 years ago
6 0

Answer:

a = 60

Step-by-step explanation:

→ Find the sum of all the angles

2a + 30 + 90 - a = 180

→ Collect the a terms

a + 120 = 180

→ Find a

a = 60

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