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

7-59.

In the diagram below,

is referred to as anDCA **exterior angle**of ∆*ABC*because it lies outside the triangle and is formed by extending a side of the triangle. Homework Help ✎

If

*m*= 46° andCAB *m*= 37°, what isABC *m*? Show all work.DCA If

*m*= 135° andDCA *m*= 43°, then what isABC *m*?CAB

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.