Question

Carl is studying Triangle ABC and is given some information. Without using a protractor, Carl is able to make the assumption that the measure of the corresponding exterior angle of Angle BAC must be 137°.

Based on this assumption, determine if each statement is true. Click True if the statement is true, or click False if the statement is false.

The sum of Angle CBA and Angle ACB must be 137° True or false
The corresponding exterior angle of Angle ACB must be 43° True or false
The measure of Angle BAC must be 43° True or false

Answer 1

The sum of Angle CBA and Angle ACB must be 137°    is TRUE

Step-by-step explanation:

Carl assumed exterior angle of Angle BAC must be 137°

Based on the assumption we will solve the Question

exterior angle of Angle BAC = ∠CBA + ∠ABC

=> ∠CBA + ∠ABC =  137°

The sum of Angle CBA and Angle ACB must be 137°    is TRUE

interior ∠BAC = 180° - 137° = 43°

exterior angle of∠ACB  = ∠CBA + ∠BAC

=> exterior angle of∠ACB  =  ∠CBA + 43°

=> exterior angle of∠ACB  > 43°

Hence The corresponding exterior angle of Angle ACB must be 43° is FALSE

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