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Home > GC > Chapter 7 > Lesson 7.2.2 > Problem 7-59

7-59.
  1. In the diagram below, angleDCA is referred to as an exterior angle of ∆ABC because it lies outside the triangle and is formed by extending a side of the triangle. Homework Help ✎

    1. If mangleCAB = 46° and mangleABC = 37°, what is mangleDCA ? Show all work.

    2. If mangleDCA = 135° and mangleABC = 43°, then what is mangleCAB?

How do the angles of a triangle relate to each other? How will this help you solve for ∠DCA?

46° + 37° + ∠ACB = 180° Then how are ∠ACB and ∠ACD related?

Use similar methods to those used for part (a). The methods might be used in a different order.