153k views
2 votes
Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?

Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and-example-1
User Nyconing
by
3.6k points

2 Answers

4 votes
The bottom left angle is 180 -80=(100)

So the remaining 2 angles are equal 80
As all angles in a triangle are equal to 180

X+5 + x - 5 =80
Simplify
2x=80
X=40

Soo one of the angles are 40-5 which is (35)
And the other is 40+5 which is (45)
So sean is not correct
~sorry sean teehee
User Mrimsh
by
3.2k points
6 votes

Answer:

Explanation:

The two angles add to 80 degrees. Two remote angles always equal the exterior angle not connected to them.

That means that

x + 5 + x - 5 = 80

2x = 80

x = 40

The base angle is

40 + 40 + y = 180

80 + y = 180

y = 100

Note

You could do this much quicker by noticing that

80 + y = 189

y = 100

No he is not right

The given 2 angles are x + 5 which is 45 and x - 5 which is 35

All he got correct was the fact that the third angle is 100 degrees.

User Kelvin Sherlock
by
3.5k points