Question

In the figure below there are 7 missing angles! The answer to one ofthese missing angle measures is 38°. But which angle is it?

Answer 1

1) Bearing in mind that The Sum of interior angles of a Triangle is 180º. We can write, ad the other properties:

m ∠1 = 180 -129 Angle 1 is supplementary to 129º

m ∠1 =51º

m ∠2 = 180º -(95 +51)

m ∠2 = 34º

m ∠3 = 95º Vertical angles theorem

m ∠4 = 180 -(95+47)

m ∠4 =38º

m ∠5 = 47º Vertical angles theorem

m ∠7 = 180º -121

m ∠7 = 59º

m ∠6 = 180 - ( 59+47)

m ∠6 = 74º

2) So the measures of the angles are:

m ∠1 =51º

m ∠2 = 34º

m ∠3 = 95º