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ICE Princess25 [194]
3 years ago
5

N a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third a

ngle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
Mathematics
1 answer:
almond37 [142]3 years ago
5 0

x + 24 = first angle


x = second angle


4x = third angle


x + 24 + x + 4x = 180°


6x + 24 = 180°


6x = 180° - 24


6x = 156°


x = 156° ÷ 6


x = 26°....the second angle.


x + 24 = 26 + 24 = 50°.... the first angle.


4(26) = 104°


The largest angle is the third angle, which measures 104°.



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<h3>What is a line segment?</h3>

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<h3>What is an arc?</h3>

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Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.

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Read more on arcs here: brainly.com/question/11126174

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Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

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A. Yes; the compass was kept at the same width to create the arcs for points C and D.

B. Yes; a straightedge was used to create segment CD.

C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

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