Answers:
angle2 = 160 degrees
angle3 = 10 degrees
============================================
Explanation:
The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.
Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".
Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.
160+x+x = 180
2x+160 = 180
2x = 180-160
2x = 20
x = 20/2
x = 10
Angle 3 is 10 degrees.
Answer:
<em><u>1.c</u></em>
<em><u>2.b</u></em>
<em><u>3.a</u></em>
<em><u>4.d</u></em>
<em><u>5.c</u></em>
Step-by-step explanation:
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1/7 = 2/14 =
<span>
<span>
<span>
0.1428571429
</span>
</span>
</span>
1/8 = 2/16 = 0.125
2/15 =
<span>
<span>
<span>
0.1333333333
</span>
</span>
</span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)
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