Help. find exterior angle.

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

3 0

Let x be the measure of the exterior angle.
In the triangle,
using angle sum property, we have,
t + (t + 10) + (t + 20) = 180
=> t + t + 10 + t + 20 = 180
=> 3t + 30 = 180
=> 3t = 180 - 30
=> t = 150/3
=> t = 50

t° = 50°
(t+10)°= (50 + 10)° = 60°
(t+20)° = (50 + 20)° = 70°

now,
x° = (t+10)° + t° [by exterior angle property]
= 60° + 50°
= 110°
therefore the measure of the exterior angle is 110°

You might be interested in

_________ are defined as lines that never have one point in common.

barxatty [35]

Answer:

The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.

Step-by-step explanation:

Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.

On the other hand, the other options are incorrect. This is because,

Perpendicular lines: Perpendicular lines are the lines that make 90 degrees angle with each other.

Skew lines: Skew lines are the lines that are not present on the same plane.

Coplanar lines: Any lines which are known to occur on the same plane are termed as coplanar lines.

4 0