2. Find the measure of the missing angle in the diagram below.7634 Draw and label the two special right triangles.6. In a 30-60-90 triangle, the measure of the hypotenuse is 9 inches. Find the measure ofthe other two sides.5.

To answer the questions about the triangles. Note that, the sum of the angles of the triangle is 180°.2) Suppose the given triangle is ∆ABC as show: So, ∠A+∠B+∠C=180⇒76+34+∠C=180⇒110+∠C=180⇒∠C=180-110⇒∠C==70 So, the measure of the missing angle is 70.5) The two special right triangles are 30-60-90 and isosceles right triangles which are ∆ABC & ∆DEF respectively.6) Suppose hypetenous AC=9. So, sin 60°=ABAC⇒AB=AC sin 60°⇒AB=932⇒AB=932 inches And cos 60°=BCAC⇒BC=AC cos 60°⇒BC=912⇒BC=4.5 inches So, the measure of the other two sides are (4.5)3 in. & 4.5 in.