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PLEASE HELP IF YOU KNOW IT ❗️❗️

PLEASE HELP IF YOU KNOW IT ❗️❗️-example-1
User Geekdeepak
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1 Answer

5 votes

Answer:

(C) 22°

Explanation:

You want the measure of angle 4 in the rhombus shown.

Triangles

The diagonals of a rhombus divide the figure into congruent right triangles. The acute angles in each of those triangles are complementary, so we have ...

∠4 +68° = 90°

∠4 = 22° . . . . . . . . subtract 68°

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Additional comment

The diagonals cross at right angles, so ...

∠1 = ∠5 = 90°

The angles at the ends of the diagonals are congruent, so ...

∠2 = ∠6 = 68°

∠3 = ∠4 = 22°

User Vedha Peri
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