Questions: Question 4 Find the missing angles in this rhombus. m angle 1= m angle 2= m angle 3=

Question 4 Find the missing angles in this rhombus. m angle 1= m angle 2= m angle 3=
Transcript text: Question 4 Find the missing angles in this rhombus. $m \angle 1=$ $\square$ $m \angle 2=$ $\square$ $m \angle 3=$ $\square$
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Solution

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Solution Steps

Step 1: Find m∠1

Adjacent angles in a rhombus are supplementary. The given angle is 60°. Therefore, m∠1 = 180° - 60° = 120°.

Step 2: Find m∠2

Opposite angles of a rhombus are congruent. Thus, m∠2 = 60°.

Step 3: Find m∠3

Opposite angles of a rhombus are congruent, and all angles must add up to 360°. m∠3 = (360° - 60° - 60° - 120°)/2= 60° Alternatively, m∠3 is adjacent to m∠2 and can be found using the same logic as Step 1. m∠3 = 180° - 60° = 120°.

Final Answer

m∠1 = 120° m∠2 = 60° m∠3 = 120°

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