Question

Can someone please tell me what the angle of x is?

Answer 1

x = 71

Explanation:

<B is a right angle, so triangle ABE is a right triangle, and angles BAE and AEB are complementary.

m<BAE + m<BEA = 90

42 + m<BEA = 90

m<BEA = 48

<BEC is a straight angle, so its measure is 180 deg.

m<CED + m<DEA + BEA = 180

61 + x + 48 = 180

x + 109 = 180

x = 71