In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the
measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
a)36
b)54°
c)126
d)136

In a city 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54 angle What is the measure of the angle that is made with 7th Ave a class=

Respuesta :

Answer:

c) 126°

Step-by-step explanation:

It is an alternate angle as it is not equal and it is is not on the same side like corresponding angles and interior angles are. If the angles are on same side of a parallel line then the angles are considered consecutive. If they are on opposite sides, then the angles are considered alternate. Are the angles inside or outside of the two intersected lines? If they are inside the two lines, then they will be classified as interior.

The measure of the snake hut angle is 126°

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

The angle vertical opposite to the pizza hut = x

x = Pizza hut angle = 54 (vertical opposite angles) =

The snake hut angle + x = 180 (alternate interior angles)

The snake hut angle + 54 = 180

The snake hut angle = 126°

The measure of the snake hut angle is 126°

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