Please help! Parallel lines Pythagorean theorem

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semsee45 6 months ago
Светило науки - 3810 ответа - 0 помощи

Answer:

m∠A = 150°

m∠B = 30°

m∠E = 110°

Step-by-step explanation:

Linear pair:

⇒ m∠A + 30° = 180°

⇒ m∠A = 150°

Alternate interior angles:

⇒ m∠B = 30°

Sum of interior angles of a triangle is 180°:

⇒ m∠C + 30° + 40° = 180°

⇒ m∠C = 110°

Linear pair:

⇒ m∠C + m∠D = 180°

⇒ 110° + m∠D = 180°

⇒ m∠D = 70°

Alternate interior angles:

⇒ m∠E = m∠C

⇒ m∠E = 110°

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