If the measure of angle 2 is (5x+14) degrees and angle 3 is (7x-14) degrees what is the measure of angle 1 in degrees

Question

Mathematics

Guest

27 November, 17:34

If the measure of angle 2 is (5x+14) degrees and angle 3 is (7x-14) degrees what is the measure of angle 1 in degrees

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Answers (2)

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Ashlyn Waller · Answer 1

Ashlyn Waller 27 November, 19:25

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The answer is 13.84 actually

Jessica Chen · Answer 2

Answer: Measure of angle 1 is 13.84°.

Step-by-step explanation: Given angle 2 = (5x+14) °

angle 3 = (7x-14) °.

Let the angle 1 be x°,

As we know m∠1+m∠2+m∠3 = 180° (Angle sum property)

x° + (5x+14) + (7x-14) = 180°

x°+12x = 180°

13x = 180

x = 180/13 = 13.84°

∴Measure of angle 1 is 13.84°