Answer:
1. x=74
2. x=86
Step-by-step explanation:
1. the sum of interior angles in a triangle is 180 degrees
81 + 25 + x = 180
106 + x = 180
x = 74
2. once again the sum of interior angles in a triangle is 180 degrees so add up the terms and set them equal to 180
x + x-35 + 43 = 180
add up like terms (x and x, -35 and 43)
2x +8 = 180
2x = 172
x = 86
Answer:
6h or 6 hours
Step-by-step explanation:
<span>2(20 - y) - 4y = 4
I hope that this helps</span>
Answer:
Step-by-step explanation:
∠2= ∠4 { alternate interior angles}
∠2= 65
∠1 + ∠2 = 180 {linear pair}
∠1 + 65 = 180
∠1 = 180- 65
∠1 = 115
Congruence Properties
In earlier mathematics courses, you have learned concepts like the commutative or associative properties. These concepts help you solve many types of mathematics problems. There are a few properties relating to congruence that will help you solve geometry problems as well. These are especially useful in two-column proofs, which you will learn later in this lesson!
The Reflexive Property of Congruence
The reflexive property of congruence states that any shape is congruent to itself. This may seem obvious, but in a geometric proof, you need to identify every possibility to help you solve a problem. If two triangles share a line segment, you can prove congruence by the reflexive property.