Please help me ASAP

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

7 0

Answer:

∠ 1 = 123°

Step-by-step explanation:

One way

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

∠ 1 is an external angle of the triangle, thus

∠ 1 = 90° + 33° = 123°

Second way

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for third angle in Δ

third angle = 180° - (90 + 33)° = 180° - 123° = 57°

The third angle and ∠ 1 form a straight angle and are supplementary, thus

∠ 1 = 180° - 57° = 123°

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