Answer:
<h3>i) Angle AOC is 95°
</h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
</h3>
<h3>
ii) Angle BOC is 85°
</h3><h3>Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
</h3><h3>
Angle AOC is 95°, So:-
</h3><h3>
95° + Angle BOC = 180°
</h3><h3>
Angle BOC= 180° - 95°
</h3><h3>
Angle BOC = 85°
</h3><h3>
</h3><h3>iii) Angle DOE is 17°
</h3><h3>Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
</h3><h3>
So,
</h3><h3>
68° + Angle DOE+ 95° = 180°
</h3><h3>
163° + Angle DOE = 180°
</h3><h3>
Angle DOE= 180° - 163°
</h3><h3>
Angle DOE is 17°</h3>
Answer:
4.3, 4,5, 5.4, and 5.5
Step-by-step explanation:
The length of BC is
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>



Do cross multiplication.



Taking square root on both sides.


square and square roots get canceled, we get

The length of BC is
.
Answer:
m∠1°= 75°
m∠2°= 105°
Step-by-step explanation:
It's on edg.
Answer:
370
Step-by-step explanation:
50 + x = 420
x = 420 - 50
x = 370