Answer:
The length of BC is 17
Step-by-step explanation:
When we construct a triangle with the data, we will end up a isosceles triangle.
In a isosceles triangle , we know that tow angles and two sides are equal
The questions states that
Then sides AC and AB are also equal
On equation their values
2X - 8 = X+9
2X = X + 9 +8
2X = X + 17
2X - X = 17
X = 17
The length of BC = X = 17
Step-by-step explanation:
Hey there!
1.》 Let the unknown angle be 'x'.
Now,
x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]
x = 180° - 134°
x = 46°
Therefore the missingangle is 46°.
2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]
angle 1 = 133°
Therefore the measure of angle 1 is 133°.
3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]
angle 2 = 180° - 133°
angle 2 = 47°
Therefore the measure of angle 2 is 47°.
4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.
See in picture;;; for more description for no.4.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
