You know vertical Angles SRU and TRV are congruent.
You are given that Sides UR and VR are congruent.
You are given that Angles SUT and SVT are congruent.
An appropriate choice is the ASA postulate, since you have congruent angles with congruent sides in between.
Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°
Answer:
∠E = 146°
Step-by-step explanation:
- an isosceles triangle has both two equal sides and two equal angles
- the sum of the interior angles of a triangle is 180°
- the measure of third angle = the sum of the interior angles - the sum of two angles
E = 180 - (71 + 71) = 146
∠E = 146°
Answer:

Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is 
In terms of x, the area is 
Recall the distributive property of real numbers: 
We apply this property to get:

We expand again to get:

We now simplify to obtain:

The area of the rectangle is 