Question

$△$RST $\cong$ $△$UVW by SAS criteria,
If RS = UV, RT = PR and $\angle$R = ${60}^{\circ },$ then find $\angle$U in terms of degrees.

• A. 60

Answer 1

The correct option is A 60
Given,
$△$RST $\cong$ $△$UVW by SAS criteria.

SAS congruency criteria states that if two sides and the angle included between them of a triangle are equal to two corresponding sides and the angle included between them of another triangle, then the triangles are congruent.

So,
RS = UV [Side 1]
RT = PR [Side 2]
and $\angle$R = ${60}^{\circ }$ [Included angle]

$\therefore$ $\angle$U = ${60}^{\circ }$ [by SAS]