When (II) Triangles Meet!

Geometry Level 1

BE is a line segment.
Find the measure of angle y y in degrees.


The answer is 30.

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2 solutions

Yajat Shamji
Jun 29, 2020

2 x + x + 3 y = 180 2x + x + 3y = 180

3 x + 3 y = 180 3x + 3y = 180 ( 1 1 )

3 x + 2 x + x = 180 3x + 2x + x = 180

6 x = 180 6x = 180

x = 30 x = 30

Substitute x = 30 x = 30 into ( 1 1 ):

3 ( 30 ) + 3 y = 180 3(30) + 3y = 180

90 + 3 y = 180 90 + 3y = 180

3 y = 90 3y = 90

y = 30 y = \fbox{30} degrees

2 triangles have same angles(i.e. 2x,x,3x) but in different position.From given information we can easily find the value of x(=30). From given information it is clear that (3x + 3y)=180. Hence, y=30.

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