Question

Find m Can someone explain this to me please?

Answer 1

m<G is 60 degrees

Explanation:

the sides are congruent so you can split it down the middle into 2 triangles. 150÷2=75 90÷2=45 add 45 and 75 to get 120. Subtract 120 from 180 and you get 60.

Answer 2

m∠G = 60°

Explanation:

From inspection of the given quadrilateral EFGH:

• EF = FG
• EH = GH
• m∠F = 150°
• m∠H = 90°

The interior angles of a quadrilateral sum to 360°:

⇒ m∠E + m∠F + m∠G + m∠H = 360°

⇒ m∠E + 150° + m∠G + 90° = 360°

⇒ m∠E + m∠G + 240° = 360°

⇒ m∠E + m∠G = 120°

As EFGH has two pairs of adjacent sides that are equal in length, it is a kite.

A kite has one pair of equal angles.

As m∠F and m∠H are not equal, then m∠E must be equal to m∠G.

⇒ m∠E = m∠G = 120° ÷ 2 = 60°