3 years ago

What is the measure of angle D? 52 54 57 126

Mathematics

2 answers:

Fudgin [204]3 years ago

7 0

Answer: 52

Step-by-step explanation:

aalyn [17]3 years ago

6 0

Answer: $52^{\circ}$

Step-by-step explanation:

We know that the sum of a ll the angles of a quadrilateral is 360 degrees.

Then for the given trapezoid, applying the angle sum property of quadrilateral we get

$\angle{A}+\angle{B}+\angle{C}+\angle{D}=360^{\circ}\\\\\Rightarrow\ 128^{\circ}+126^{\circ}+54^{\circ}\angle{D}=360^{\circ}\\\\\Rightarrow\ \angle{D}=360-128-126-54\\\\\Rightarrow\ \angle{D}=360-308\\\\\Rightarrow\ \angle{D}=52^{\circ}$

Hence, The measure of angle D = $52^{\circ}$

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