Question

Hello may you please answer this question step by step for me. Thank you.

Answer 1

20°

Explanation:

A full circle is 360°

So at B,

angle a + 30 + 160 + 90(right angle) = 360

angle a + 280 = 360

angle a = 360 - 280 = 80

Now the markings indicate that side AC = side AB (you have been told it's isosceles right and isoceles triangles have two equal sides and two equal angles)

This also implies that angle a = angle b.

So, angle a is 80°

angle b is 80°

angle x = 180 - (80+80) = 180 - 160 = 20°

Note that the sum of all interior angles of a triangle is always 180