Question

The quadrilateral shown is a rhombus. What is m∠4?

Answer 1

m∠4= 360-(m∠A+m∠1+m∠3+m∠C+m∠2)

Explanation:

In the diagram. check attach image

m∠A + m∠B + m∠C + m∠D = 360º.

Every quadrilateral can be decomposed (cut apart) into two triangles, each of whose angles' measures sum to 180º.

m∠A + m∠1 + m∠ 3 = 180º

m∠C + m∠2 + m∠4 = 180º

m∠A+m∠1+m∠3+m∠C+m∠2+m∠4 = 360º

therefore :

m∠4= 360-(m∠A+m∠1+m∠3+m∠C+m∠2)