in triangle ABC , BC is produced to d if angle ACD is equal to 120 degree and angle ADC is 43 degree find angle BAC and angle ACB
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Answered by
5
Answer:
From the figure we know that ∠ACB and ∠ACD form a linear pair of angles
So we get
∠ACB+∠ACD=180
∘
By substituting the values
∠ACB+128
∘
=180
∘
On further calculation
∠ACB=180
∘
−128
∘
By subtraction
∠ACB=52
∘
We know that the sum of all the angles in a triangle is 180
∘
.
So we can write it as
∠ABC+∠ACB+∠BAC=180
∘
By substituting the values
43
∘
+52
∘
+∠BAC=180
∘
On further calculation
∠BAC180
∘
−43
∘
−52
∘
By subtraction
∠BAC=180
∘
−95
∘
∠BAC=85
∘
Therefore, ∠BAC=85
∘
and ∠ACB=52
∘
.
Step-by-step explanation:
Answered by
5
Triangle ABC has angle BAC equal to `90^(@).` What is the measure of the angle ABC? A. The angle ABC is `35^(@)` B. The angle CBA is `55^(@)`
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