contestada

In the figure below, line AB is parallel to line CE, points
C, D, and E are collinear, and segment BD is congruent to
segment BE. If the measure of angle ADC is 35º and the
measure of angle DBE is 90°, what is the measure of
angle ADB?

Respuesta :

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The measure of angle ADB  is 100 degrees

Angle Sum Property:

The "angle sum property" of triangles states that they have angles that sum to 180 degrees. A triangle is made up of three sides and three angles, one at each vertex. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

The angle sum property of a triangle states that the sum of the three internal angles of a triangle is 180 degrees.

Given:

<ADC = 35

<DBE= 90

In ΔBDE

BD= DE (given)

So, <BDE= <BED (Angle opposite to equal side also equal)

Using Angle sum property

<BDE+ <BED + <EBD = 180

x+  x + 90 =180

2x= 90

x= 45

So, <ADC+ <ADB + <BDE = 180 (Linear pair)

35 + <ADB + 45 =180

<ADB = 180- 80

<ADB = 100 degree

Hence, the measure of <ADB is 100 degrees.

Learn more about Angle Sum property here:

brainly.com/question/21099419

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