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Sagot :

Answer:

x=54, acute scalene triangle

Step-by-step explanation:

1st Question:

Triangle SRT has two congruent sides, making it an isosceles triangle.

In isosceles triangles, the two base angles are congruent.

This means that in the question, ∠SRT equals ∠STR, so let's call them both x.

The sum of the interior angles of a triangle add to 180, so

∠RST+∠SRT+∠STR=180

Substitute ∠RST for 72 and ∠SRT+∠STR for x

72+2x=180

2x=108

x=54

2nd Question:

Again, using the sum of the interior angles of a triangle, we can say

42+88+∠DFE=180

∠DFE=50

All the angles in the triangle are less than 90°, meaning they are all acute. Also, none of the sides are labeled as congruent, so it is an acute scalene triangle