If QRST is an isosceles trapezoid, find m

Answer:
x = 15
Step-by-step explanation:
One of the properties of isosceles trapezoids is that the top two angles are equal, and the bottom two angles are equal.
Knowing that the bottom two angles are equal, we can set the two equations equal to each other:
4x + 7 = 7x - 38
By solving for x, we discover that x equals 15.
The value of m is 67°.
An isosceles trapezoid has the following unique properties: One pair of parallel sides, Base angles are congruent. The legs are congruent.
The properties of isosceles trapezoids is that the Base angles are congruent the legs are congruent.
So,
4x + 7 = 7x - 38
-3x= -45
x=15
Hence, 4x+7= 4*15+7=67
and, 7x-38= 7*15-38= 67
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