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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To factor the trinomial, you can use the ac method where you multiply the first and last terms together (6 and 9) and add up to 15.
In this case ac= 54
2 numbers that multiply to 54 and add up to 15 would be 6 and 9 so place these numbers where the 15 would be:
Then group terms to simplify:
Simplify any like terms:
And group together again:
You can simplify a 3 out of the first expression one more time to get:
Which would be the factored form. I hope this helps :)
In this case ac= 54
2 numbers that multiply to 54 and add up to 15 would be 6 and 9 so place these numbers where the 15 would be:
Then group terms to simplify:
Simplify any like terms:
And group together again:
You can simplify a 3 out of the first expression one more time to get:
Which would be the factored form. I hope this helps :)