Geometry isosceles and equilateral triangles find the value of x in each diagram

Part 9)

Part 10)

Part 11)

Part 12)

Part 13)

a)

b) m∠VWX=

c) m∠WVX=

d) m∠XTV=

e) m∠XVT=

Step-by-step explanation:

Part 9) we have that

----->by SSA

solve for x

Part 10)

In the isosceles triangle of the left the vertex angle is equal to

Find the measure of angle 2

m∠2=

m∠2=

solve for x

Part 11)

Find the base angle in the isosceles triangle of the top

Find the vertex angle in the isosceles triangle of the top

Find the vertex angle 2 in the isosceles triangle of the bottom

------> this is the measure of angle 2

m∠2=

m∠2=

Part 12)

m∠2= ------> by corresponding angles

m∠2=

Part 13)

a) we have that

SU=UW ------> given problem

therefore

b) we know that

m∠VWX=

in the right triangle UVW find the value of y

The sum of the internal angles of a triangle is equal to

so

so

m∠VWX=

Part c) we know that

in the right triangle VWX

The sum of the internal angles of a triangle is equal to

so

m∠WVX=

m∠WVX=

m∠WVX=

Part d)  we know that

in the right triangle XTV

The sum of the internal angles of a triangle is equal to

so

m∠XTV=

m∠XTV=

m∠XTV=

Part e) we know that

m∠XVT=

substitute the value of y

m∠XVT=

m∠XVT=