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3 years ago

Help me please!!!!!!!!!!!

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

m∠B = 107°

Step-by-step explanation:

The given geometric figure is a deltoid or quadrilateral with two pairs of equal adjacent sides whose diagonals are perpendicular.

The longer diagonal divides two opposite angles into two equal parts, which means:

m∠A = 2 · 32 = 64°

m∠C = 2 · 41 = 82

Also the angles m∠B ≅ m∠D = x

The total sum of the inner angles in the quadrilateral is 360°, which means:

2 · x = 360 - ( 64 + 82) = 360 - 146 = 214 => x = 214/2 = 107°

m∠B = 107°

God with you!!!

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