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Step2247 [10]
3 years ago
14

Find the missing angle measures in the given rhombus.

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

(1) = 38\°

(2) = 90\°

(3) = 90\°

(4) = 38\°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, so angles (2) and (3) are equal 90°.

To find angle (1), we can use the sum of internal angles in the left triangle with angles 52°, (1), and (2):

52 + (1) + (2) = 180

(1) = 180 - 52 - 90

(1) = 38\°

The diagonals of a rhombus bisects the angles, to the angle next to the angle of 52° is also 52°, then, in the upper triangle, we have:

52 + (4) + 90 = 180

(4) = 38\°

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