Answer:
∠6=78° ∠7=102° ∠14=78°
Step-by-step explanation:
Angles 6 and 7 are supplementary angles so ∠a+∠b=180°
in this case it would be 102°+x=180° and you subtract 102° from 180° getting 78°
∠7 is the vertical angles postulate stating that any angles vertical to each other are eaqual
Answer:
13
Step-by-step explanation:
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3
If

, then angle

is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle

is opposite the side of length a</span> you can conclude that a>c and a>b.