347,691 views
14 votes
14 votes
70° ? 127° 146° Can I get some help with this?​

70° ? 127° 146° Can I get some help with this?​-example-1
User Erazihel
by
3.1k points

2 Answers

18 votes
18 votes

Answer: 93 degrees

===========================================================

Step-by-step explanation:

Let x be the question mark angle we want to find.

Let y be adjacent to the 127 degree angle

Let z be adjacent to the 146 degree angle.

Refer to the diagram below.

Note that in the diagram, I have a second copy of 'x' because the two x angles are vertical angles. Vertical angles are always congruent.

Let's find angle y

127+y = 180

y = 180-127

y = 53

Do the same for angle z

z+146 = 180

z = 180-146

z = 34

Then notice how,

x+y+z = 180

x+53+34

x+87 = 180

x = 180-87

x = 93

70° ? 127° 146° Can I get some help with this?​-example-1
User Marwie
by
3.5k points
28 votes
28 votes

Answer:

93 degrees

Step-by-step explanation:

First, you would need to observe the image and see where to start off. You can see that there is a triangle below the "?" and you would be able to get the answer if you can find the measures of the small triangle(because of vertical angles) So,

180-127= 53.

180-146=34.

Since the angles of a triangle adds up to 180 degrees, 53+34+x=180.

x=93

Now, just flip the angle around and "?" = 93 degrees.

User Gezzamondo
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.