A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. The total number
of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144°
2 answers:
Answer:
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
The two equal angles are the base angles and the third angle is the vertex angle
In this problem
The vertex angle of one of the isosceles triangle is equal to
The sum of the internal angles of the triangle is equal to
Let
x------> the measure of a base angle of one of the isosceles triangle
so
solve for x
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Answer:
x = 4
Step-by-step explanation:
4(5x - 2) = 72
Do the distributive property
20x - 8 = 72
Then add 8 to both sides to get 20x alone
20x - 8 = 72
+ 8 + 8
20x = 80
Then divide both sides by 20 to get x
x = 4