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Ket [755]
3 years ago
12

In triangle ABC, m∠ABC = (4x – 12)° and

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Step-by-step explanation:

x = 19,

Putting value of x to find m∠ABC and m∠ACB

m∠ABC = (4x – 12)°

m∠ABC = (4(19) – 12)°

m∠ABC = (76 – 12)°

m∠ABC = 64°

m∠ACB = (2(19) + 26)°

m∠ACB = (38 + 26)°

m∠ACB = 64°

now we know sum of angles of triangle is 180°. We can find the measure of third angle.

180 = 64+64 +x

x= 180 - 64 - 64

x = 52°

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Vaselesa [24]3 years ago
4 0

Sample Response: No, Yin is not correct. If

x = 19, the measure of angle ABC = 4(19) – 12 = 64. Therefore, the two base angles measure 64°. An equilateral triangle is equiangular, so each angle would have to measure 60° because there are 180° in a triangle.

What did you include in your response? Check all that apply.

<u>Yin is not correct. </u>

<u>The measure of the congruent base angles is 64°. </u>

<u>The measures of the angles in an equilateral triangle are 60°.</u>

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