Answer:
ASA Congruence Postulate
Step-by-step explanation:
Here if we clearly observe ∠DAC=∠BCA and ∠DCA=∠BAC
Also AC is a common side to both the triangles .
So by ASA congruence postulate we have that the ΔADC and ΔCBA are congruent.
ASA congruence postulate states that if two triangles have two angles and an included side same then both the triangles are congruent.
Answer: 1717
Step-by-step explanation:
17+420+480+425+375=
Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
A net is the two-dimensional representation of a three-dimensional figure.
