Question

4. In square ABCD, APAB is equilateral. Find
the value of x in the figure.​

Answer 1

Step-by-step explanation:

consider right triangle ABC we know that

AB =BC (SINCE both are sides of square)

angle BAC=angleBCA(isosceles triangle)

angle B= 90°(angle of square)

by sum of angle of triangle

angle BAC&BCA = 45°

now consider equilateral triangle PAB

angle P =60° (angles of equilateral triangle)

we know that angle CAB is 45°

and angle PAB is 60°( angle equilateral triangle)

so angle PAC =60°-45°=15°

in triangle APO(small triangle in fig)

external angle of triangle x= sum of opposite internal angles

that is

x=60°+15°

=75

Answer 2

Answer:

Hope this answer helps you