Question

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Answer 1

To solve this problem we will use the following property of triangles:

So if we are given the angles a and b of a triangle, the third side c, must be:1) The angles are a =

`\begin{gathered} a+b+c=180^(\circ), \\ c=180^(\circ)-a-b\text{.} \end{gathered}`
`c=180^(\circ)-48^(\circ)-62^(\circ)=70^(\circ)\text{.}`

i. 70°

2) a = 48° and b = 62°, so we have:

`c=180^(\circ)-71^(\circ)-36^(\circ)=73^(\circ).`

h. 73°

3) a = 41° and b = 86°, so we have:

`c=180^(\circ)-41^(\circ)-86^(\circ)=53^(\circ).`

j. 53°

4) a = 61° and b = 88°, so we have:

`c=180^(\circ)-61^(\circ)-88^(\circ)=31^(\circ).`

d. 31°

5) a = 55° and b = 92°, so we have:

`c=180^(\circ)-55^(\circ)-92^(\circ)=33^(\circ).`

b. 33°

Answers

0. j. 70°

,

1. h. 73°

,

2. j. 53°

,

3. d. 31°

,

4. b. 33°