please let me know it with solution
Answers
Step-by-step explanation:
(a) 55° + 47° = a° [exterior angle property]
therefore a = 102°
(b) in triangle ABC,
35° + c° = angleCAD [exterior angle property]
i.e. 35 + c = 90 [given]
c = 90 - 35
c = 55
similarly, 50 + b = 90
b = 90 - 40
b = 50
(c) DAC + CAB = 180° [forming linear pair]
110 + a = 180
a = 180 - 110
a = 70°
Now, 2c + 3c = 110° [exterior angle property]
5c = 110
c = 110 ÷ 5
c = 22°
Answer:
a ) the value a angle will be 102 degrees because for finding the exterior angles we have to add the other two opposite interior angles which is =
55° + 47° = 102°
b ) the value of angle b is 40 degrees because of DAC being a right angle and the formulas for solving this is =
180°- (50° + 90°)
180°- 140° = 40°
And if we follow the same with angle c then =
180° - (35°+ 90°)
180° - 125° = 55°
c ) As said in the first answer that the value of the exterior angle will be always equal to the sum of the opposite interior angle we can convey that =
2e° + 3e° = 110°
5e° = 110°
e° = 110°/5°
e° = 22°
So
(2 × 22)° = 44°
(3 × 22)° = 66°
So we do know that the value of d would be 70° because of the simple explanation that it is lying on a straight line which is always 180° and there is CAD = 110°. So
180° - 110° = d°
d° = 180° - 110°
d° = 70°
Step-by-step explanation:
Hope it helps