Solve for the angles in a triangle

  • Context: MHB 
  • Thread starter Thread starter gazparkin
  • Start date Start date
  • Tags Tags
    Angles Triangle
Click For Summary

Discussion Overview

The discussion revolves around solving for the angles in a triangle, specifically focusing on an isosceles triangle where one angle is given as 60 degrees. Participants explore the relationships between the angles and attempt to verify their calculations.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant proposes that the angles are x=30 and y=60, based on the assumption of an isosceles triangle with equal base angles.
  • Another participant provides a mathematical equation, 60 + x + y = 180, and suggests that if y = 2x, then the equation becomes 60 + x + 2x = 180.
  • Some participants suggest that x could be 40 and y could be 80, with one confirming this as correct.

Areas of Agreement / Disagreement

There is no consensus on the correct values for x and y, as multiple calculations and interpretations are presented, leading to different proposed solutions.

Contextual Notes

The discussion includes various assumptions about the triangle's properties and relies on the participants' interpretations of the relationships between the angles, which may not be fully resolved.

gazparkin
Messages
17
Reaction score
0
Hi,

Could someone check that I'm right with this one, or put me right! I've worked the value out as

x=30 and y (2x) = 60. I've come to this as I think it's an isosceles triangle so the base angles would be equal. Am I right?

Thank you!

View attachment 9147
 

Attachments

  • Traingle 2.jpg
    Traingle 2.jpg
    9 KB · Views: 127
Mathematics news on Phys.org
60 + x + y = 180

if y = 2x ...

60 + x + 2x = 180

try again ...
 
Is it x = 40 and y =80??
 
gazparkin said:
Is it x = 40 and y =80??

Yes, that's correct.
 
catmitt98 said:
Yes, that's correct.

Thank you for your help.
 

Similar threads

High School Why does the trigonometry of obtuse angles use ref angles?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Difference of angles in a triangle
  • · Replies 4 ·
Replies
4
Views
2K
MHB Find Length of Side in Right Triangle w/ 45°, 90°, and 45° Angle
  • · Replies 2 ·
Replies
2
Views
2K
MHB Acute angle of right triangles
  • · Replies 4 ·
Replies
4
Views
2K
High School Find triangles with areas that are integers
  • · Replies 20 ·
Replies
20
Views
4K
MHB Can an Ellipse Help Solve the Scalene Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Finding the Leg Lengths of a Right Triangle with an Acute Angle of 22°
  • · Replies 2 ·
Replies
2
Views
1K
High School Can an isosceles triangle have 3 equal angles?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Find unknown angles of a triangle
  • · Replies 6 ·
Replies
6
Views
3K