Since you know the triangles are congruent/equal, you know that:
m∠A and m∠X are congruent and have the same angle, and so does:
m∠B and m∠Y
m∠C and m∠Z
A triangle is 180°. (the 3 angles have to add up to 180) To find m∠B, you can do this:
m∠A + m∠B + m∠C = 180°
21° + m∠B + 35° = 180° Subtract 21 and 35 on both sides
m∠B = 124° your answer is C
Answer:
Step-by-step explanation:
#using java
Double result;
public Double half(Double number){
return number/2;
}
result=half(number);
I think the answer is 4.09
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the measure of angle a
we know that
The formula to calculate the measure of the interior angle of a regular polygon is equal to

where
n is the number of sides of the regular polygon
For the regular pentagon in the figure
n=5
substitute in the formula



Part 2) Find the measure of angle b
Remember that a regular polygon has equal sides and equal interior angles
so
In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon
therefore
The triangle in white of the figure is an isosceles triangle
The measure of the vertex angle of the isosceles triangle is equal to

Remember that
The sum of the interior angles of triangle must be equal to 180 degrees
so

solve for b



Answer:
Base = 126 cm or 60 cm
Step-by-step explanation:
Ratio of sides of isosceles triangle = 4 : 7
Sides are = 4x , 7x
If smallest sides of the isosceles triangle are equal, then
three sides are = 4x , 4x , 7x
Perimeter = 270 cm
4x + 4x + 7x = 270
15x = 270
x = 270/15
x = 18
Base = 7x = 7*18 = 126 cm
If largest sides of the isosceles triangle are equal, then
Three sides are = 7x , 7x , 4x
7x + 7x +4x = 270
18x = 270
x = 270/18
x = 15
Base = 4x = 4 * 15 = 60 cm