1. Hannah drew a pattern using only equilateral triangles. Which of the following statements about the angles is an equilateral triangle is true?
A. The measurement of each angle is 60 degrees**
B. The measurement of each angle is 120 degrees
C. The measurement of one angle is 90 degrees
D. The measurement of one angle is more than 180 degrees
2. Find the value of x in the triangle
(Measurements, 28 degrees & 65 degrees)
A. 84 degrees
B. 87 degrees**
C. 93 degrees
D. 115 degrees
Both are correct.
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You're welcome, Megan.
Why can't you people post all the answers to the test
Thank you!
1.A
2.B
1. To determine the correct answer, you need to understand the properties of an equilateral triangle. An equilateral triangle has three equal sides and three equal angles. Since the question asks about the angles specifically, you need to know the measurement of each angle in an equilateral triangle.
The correct answer is A. The measurement of each angle in an equilateral triangle is 60 degrees. This is because the sum of the interior angles of any triangle is always 180 degrees. Since an equilateral triangle has three equal angles, each angle must measure 180 degrees divided by 3, which is 60 degrees.
2. To find the value of x in the triangle with measurements of 28 degrees and 65 degrees, you need to use the fact that the sum of all angles in a triangle is always 180 degrees.
Let's assume x is the measurement of the third angle. Using the knowledge that the sum of all angles in a triangle is 180 degrees:
28 degrees + 65 degrees + x = 180 degrees
Combine like terms:
93 degrees + x = 180 degrees
Now, solve for x by isolating it on one side of the equation:
x = 180 degrees - 93 degrees
x = 87 degrees
Therefore, the value of x is 87 degrees. The correct answer is B.