The isosceles trapezoid is part of an
isosceles triangle with a 46° vertex angle.
enter the measure of an acute base angle of
the trapezoid.

Therefore, the measure of an acute base angle of  the trapezoid are

Step-by-step explanation:

Given:

Consider a Triangle ΔABC,with vertex angle as ∠A,

∠ A = 46°

DECB is an Isosceles trapezoid is part of an  Isosceles triangle,

To Find:

∠ B = ∠C = ?

Solution:

As the Triangle,ΔABC is an Isosceles Triangle

........Base angles are equal

Also we have,

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

Therefore, the measure of an acute base angle of  the trapezoid are

step-by-step explanation:

when the line is solid:

when the line is dashed:

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this < inequality sign means:

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this < inequality sign means:

about the problem:

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the diagram below is your final answer