Question

If m X=49, y=41 X=90, y= 49 X=41, y =49 X=90, y=41

Answer 1

Answer:

x=90 degrees and y=41 degrees.

Step-by-step explanation:

In the diagram

$AB=AC\\ Therefore \triangle ABC is an isosceles triangle$

$m\angle C=49^\circ$

Since ABC is Isosceles

$m\angle B=m\angle C=49^\circ (Base angles of an Isosceles Triangle)$

$m\angle A+m\angle B+m\angle C=180^\circ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ$

$m\angle x=90^\circ (perpendicular bisector of the base of an isosceles triangle)$

$m\angle y=m\angle A \div 2 (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ$

Therefore:

x=90 degrees and y=41 degrees.