Question

Please help me find m<G​

Answer 1

m∠G = 60°

Explanation:

This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:

m∠H + m∠F + m∠E + m∠G = 360

90 + 150 + m∠E + m∠G = 360

Since this is a kite, m∠E = m∠G, so the equation can be represented as:

90 + 150 + 2(m∠G) = 360

Finally, solve by isolating m∠G:

2(m∠G) = 120

m∠G = 60°