- Acute equilateral triangle KLM. When all three codes are
congruent, you have an equilateral triangle.
Set 24
- 59°.180° – (m∠C + m∠A) = m∠B. 180° – 121° = m∠B. 59° = m∠B
- 30°.180° – (m∠R + m∠Q) = m∠S. 180° – 150° = m∠S. 30° = m∠S
- 30°.Step One: 180° – 60° = m∠T. 120° = m∠T. Step Two: 180° –
m∠T = m∠U + m∠V. 180° – 120° = m∠U + m∠V. 60° = m∠U +
m∠V. Step Three: 60° shared by two congruent base angles equals
two 30° angles. - 156°.180° – (m∠F + m∠G) = m∠E. 180° – 24° = m∠E. 156° = m∠E
- No.The sum of the measurements of ∠B and ∠C equals 75°.
Subtract 75° from 180°, and ∠A measures 105°. ΔABC cannot be
acute if any of its interior angles measure 90° or more.
Set 25
- c.Choice ais not an acute triangle because it has one right angle.
In choice b, the sum of interior angle measures exceeds 180°.
Choice dsuffers the reverse problem; its sum does not make 180°.
Though choice cdescribes an equilateral triangle; it also describes
an isosceles triangle. - d. Choice ais not an obtuse triangle; it is a right triangle. In choice
band choice cthe sum of the interior angle measures exceeds 180°. - d.A right triangle has a right angle and two acute angles; it does
not have any obtuse angles. - d.Angles and sides are measured in different units. 60 inches is not
the same as 60°. - c.Let m∠A = 2x, m∠B = xand m∠C = x. 2 x+ x+ x= 180°.
4 x= 180°. x= 45°.
501 Geometry Questions