Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
410
a. mZ1 = 90, mZ2 = 41, and m23 = 41
b. mZ1 = 90, m_2=41, and m23 = 69.5
c. m21 = 90, mZ2 = 49, and mZ3 = 41
d. mZ1 = 90, mZ2 =41, and mZ3 = 49

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.

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