Which of the following are valid names for the given triangle? Check all that apply.
2 answers:
Answer:
B. ,
D.
E. .
Step-by-step explanation:
We have been given a triangle. We are asked to choose the valid names for our triangle from the given choices.
We know that labels of the vertices of the triangle are used to name a triangle. In naming triangle, we can start from any vertex and we should keep the letters in order as we go around the triangle.
We can see that vertices of our given triangle are labeled as A, T and X, therefore, we can get three names for our triangle as:
,
and
.
Therefore, options B, D and C are correct choices.
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Let the measure of angle be 'x'
Since, the measure of the supplement of an angle is 84° less than the measure of the angle.
Therefore, measure of supplement of x = x - 84°
The measure of two supplementary angles is 180 degrees.
So, the measure of angle =
Its supplement = x - 84° = 132° - 84°
= 48°
So, the measure of supplement of angle is 48 degrees.