Answer:
5. m < 1 = 72 degrees.
6. m < 1 = 80 degrees.
Step-by-step explanation:
5. < 1 = 72 degrees.
If we draw a line through the point of < 1, We see that We have have 2 angles of 40 and 32 ( alternate angles).
6. By the same reasoning m < 1 = 60 + 20
= 80 degrees.
Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
I think it might be 90 degrees
1 over 2 equals 2 over 4 equals 4 over 8.
Hope this helps! :)