The measure of the numbered angles in the kite is:• m∠1 = 111°• m∠2 = 111°The sum of the angles in any quadrilateral is 360 degrees. Let's use this information to find the measures of angles 1 and 2 in the kite.Identify angles:We know angles 1 and 2 are opposite angles in the kite, so they are congruent.We also see two right angles (90 degrees) in the figure.Set up equation:Since the sum of angles in a quadrilateral is 360 degrees, we can write an equation:48°+ 90°+ m∠1 + m∠2 = 360Given that m∠1 = m∠2Combine like terms:2m∠1 + 138° = 360°4. Solve for m∠1:Subtract 138° from both sides:2m∠1 = 222°Divide both sides by 2:m∠1 = 111°5. Conclusion:Therefore, both m∠1 and m∠2 are:m∠1 = 111°m∠2 = 111°...

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