Question

Use the image to answer the question.

An illustration shows five rays emerging from a point labeled A, forming the following angles from left to right: 1, 2, 3, 4, and 5. Angles 1 and 2 together form a right angle.

If m∠2=47° , what is m∠4 ?

(1 point)
°
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Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the information given, we know that angles 1 and 2 together form a right angle. Since the measure of angle 2 is 47°, we can conclude that angle 1 must be 90° - 47° = 43°.

Since angles 1 and 2 form a right angle, we know that angle 3 is also 43°.

Since angles 1, 2, and 3 are all congruent to 43°, we can determine that the total measure of these three angles is 43° + 43° + 43° = 129°.

Since the sum of the measures of the three known angles (1, 2, and 3) is 129°, we can subtract this total from 180° to find the measure of angle 4:

180° - 129° = 51°.

Therefore, the measure of angle 4 is 51°.