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40 POINTS!
Please answer for
m∠1 AND m∠2

Answer choices for m∠1:
50, 110, 70, 90
Answer choices for m∠2:
70, 110, 40, 140

40 POINTS Please answer for m1 AND m2 Answer choices for m1 50 110 70 90 Answer choices for m2 70 110 40 140 class=

Respuesta :

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°