To find the measure of angle x, we can use the fact that the sum of angles in a triangle is 180 degrees.
In the lower triangle, the two angles at the base are both 65 degrees each. So, the sum of these two angles is 65 + 65 = 130 degrees.
Therefore, the third angle in the triangle is 180 - 130 = 50 degrees.
Now, in the top triangle, we have the third angle marked as 50 degrees. Additionally, we have the angle at the vertex of the top triangle as x degrees.
So, the sum of the angles in the top triangle is 50 + x + 65 = 180 degrees.
Solving for x, we get:
50 + x + 65 = 180
115 + x = 180
x = 180 - 115
x = 65 degrees
Therefore, the measure of angle x in the figure is 65 degrees.
Find the measure of angle x in the figure below
Two triangles are shown such that one triangle is inverted and share a common vertex. The lower triangle has two angles at the base marked as 65 degrees each. The angle at the vertex of the inverted triangle at the top is marked as x degrees. 50°
75°
115°
130°
7 answers
50°
75°
115°
130° pick one
75°
115°
130° pick one
115°
why 115
In the solution above, it was explained that the sum of the three angles in the top triangle must be 180 degrees. Setting up the equation as 50 + x + 65 = 180 and solving for x, we get:
50 + x + 65 = 180
115 + x = 180
x = 180 - 115
x = 65 degrees
Therefore, the measure of angle x in the figure is 65 degrees, not 115 degrees. Apologies for the confusion. Thank you for pointing that out.
50 + x + 65 = 180
115 + x = 180
x = 180 - 115
x = 65 degrees
Therefore, the measure of angle x in the figure is 65 degrees, not 115 degrees. Apologies for the confusion. Thank you for pointing that out.
50°
75°
115°
130°
75°
115°
130°
I apologize for the error in my previous responses. Let's find the correct measure of angle x.
Since the two angles at the base in the lower triangle are 65 degrees each, the third angle is 180 - 65 - 65 = 50 degrees.
In the top triangle, we have the angle at the vertex marked as x degrees, and the two base angles are 50 degrees and 65 degrees respectively.
The sum of the angles in the top triangle is x + 50 + 65 = 180
Combining angles, we have:
x + 50 + 65 = 180
x + 115 = 180
x = 180 - 115
x = 65
Therefore, the measure of angle x in the figure is 65 degrees.
Since the two angles at the base in the lower triangle are 65 degrees each, the third angle is 180 - 65 - 65 = 50 degrees.
In the top triangle, we have the angle at the vertex marked as x degrees, and the two base angles are 50 degrees and 65 degrees respectively.
The sum of the angles in the top triangle is x + 50 + 65 = 180
Combining angles, we have:
x + 50 + 65 = 180
x + 115 = 180
x = 180 - 115
x = 65
Therefore, the measure of angle x in the figure is 65 degrees.
5 answers