Triangles

In ΔEFG, the sum of the measures of ∠E and ∠F is 74°, what is the measure of ∠G

• 53°
• 74°
• 92°
• In 106°

In ∆LMN, the measure of ∠L is 51° and the measures of ∠M is 48°. Which of the following inequalities concerning the lengths of the sides of ∆LMN is true?

• MN>LM
• LN+MN<LM
• LN>MN
• LM>LN

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The length of side MN of isosceles ∆MNO is 3 centimeters less than the length of sides MO and NO, which each have a length of X cm. Side QR of isosceles ∆PQR, which is similar to ∆MNO, corresponds to NO and has a length of 12X cm. In terms of x, what is the length of PQ?

• 12x-36
• 12x+7
• 12x-3
• x+7

Which of the following angle measures CANNOT be the measure of any angle in an acute triangle?

• 45°
• 63°
• 89°
• 112°

In ∆ABC line AB = line BC, and ∠ABC measures 70°. What is the measure of ∠BAC?

• 35°
• 55°
• 70°
• 110°

Triangle MNO is shown.  Which statement about this triangle is true?

• m∠O > m∠M
• m∠M > m∠N
• m∠M < m∠N
• m∠N < m∠O

In this drawing, what is the measure of angle y?

• 40
• 60
• 80
• 100

A triangle has interior angles that measure 3x, (2x+15), and (x+45).  What is the measure of the largest exterior angle?

• 160
• 125
• 120
• 115