Question

Tell whether the triangles are similar. Then find the measure of the missing angles.to46°5858°78Are the figures similar?(type YES or NO)The measure of angle X=degreesThe measure of angle Y =degreesBlank 1:Blank 2:Blank 3:

Answer 1

We will use the property that sum of all angles of a triangle is 180 degree.

`\begin{gathered} x^o+46^o+58^o=180^o \\ x^o=180-104 \\ x^o=76^o \end{gathered}`

Similarly

`\begin{gathered} y=180-58-78 \\ =180-136 \\ =44 \end{gathered}`

The two triangles are not similar because in similar triangles all angles are equal.

And x=76 and y=44