Example 2 Find the measure of each angle. 2x + 10 xx + 2
Exterior Angle Theorem The measure of an exterior angle equals the measure of the two nonadjecent interior angles.
Example 3 Given that A is 50º and B is 34º, what is the measure of BCD? What is the measure of ACB? D A B C
Solve for x
Corollary for the fact that interior angles add to 180º The acute angles of a Right triangle are complementary.
Example 4 A. Given the following triangle, what is the length of the hypotenuse? B. What are the length of the legs? C. If one of the acute angle measures is 32°, what is the other acute angles measurement?
Example 6 Find the missing measures 80° 53°
Example 7 Given: ABC with m C = 90° Prove: m A + m B = 90° StatementReason 1. m C = 90° 2. m A + m B + m C = 180° 3. m A + m B + 90° = 180° 4. m A + m B = 90°