1) ,
,
(given)
2) is a right angle (perpendicular lines form right angles)
3) and
are right triangles (a triangle with a right angle is a right angle)
4) (HL)
5) (CPCTC)
The frequency table was made using a deck of cards in which each card is numbered 1, 2, 3, or 4.
1 answer:
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Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to .
Let the exterior angle be represented by , and the three interior angles of the triangle be represented by
,
and
.
Assume that the vertex angle is the linear pair to the exterior angle
.
i.e +
=
(sum of angles on a straight line)
Thus,
i. +
=
(sum of two opposite interior angles is equal to an exterior angle)
⇒ =
-
Also,
=
-
But,
+
+
=
(sum of angles in a triangle)
⇒ =
- (
+
)
and
+
=
-
ii. +
+
=
(sum of angles in a triangle)
=
- (
+
)
Also,
+
=
⇒ =
-
=
-
The answer to your problem is five.
