Honors GeometryPage 1

Unit 4 Angles

What’s the Angle?

Find the value of each variable and the measure of each angle.

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6.

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3. / 8.
4. / 9.
5. / 10.
  1. The measure of the complement of an angle is five times the measure of the angle. Find the measure of the angle.
  1. Find the measure of an angle whose measure is 30° more than the measure of its supplement.
  1. The measures of two angles that are complementary are in the ratio of 7:3. Find the measure of each angle.
  1. The measure of the complement of an angle exceeds the measure of the angle by 28°. Find the measure of the angle.
  1. The measure of an angle is 24° less than the measure of its supplement. Find the measure of the angle.
  1. The measure of the supplement of an angle is 60° more than twice the measure of the angle. Find the measure of the angle.
  1. The difference between the measures of two supplementary angles is 72°. Find the measure of both angles.
  1. The measure of the supplement of an angle exceeds four times the measure of the complement by 30°. Find the measure of the original angle.
  1. Four times the complement of an angle is 60 more than half the measure of the supplement of the angle. Find the measure of the angle.
  1. The measures of a linear pair of angles are given by the expressions and . Find the measure of the smaller of the two angles.
  1. Two angles form a linear pair. The measure of the smaller is one-third of the measure of the greater angle. Find both angles.
  1. Determine the measure of the angles formed by the bisectors of a pair of angles that are both adjacent and supplementary.
  1. Two angles of a triangle measure 50° and 70°. Find the measure of the obtuse angle formed by the bisectors of these angles.
  1. The measures of two angles of a triangle are in the ratio of 2:3. The measure of the third angle is 40 more than the measure of the smaller of the two angles. Find the measure of each angle.
  1. The measures of the angles of are represented by (3x)°, and . Find the value of x and the measures of the three angles.
  1. The measures of the angles of are represented by , and . Find the value of x and the measures of the three angles. What kind of triangle is ΔGHI ?
  1. The measures of are represented by , , . Find the value of x and the measures of the three angles. What kind of triangle is ?
  1. The measures of the angles of are represented by , , and . Find the value of x and the measures of the three angles. What kind of triangle of .

Mr. John Cendrowski

Lower Moreland HS