What is the measure of ABC? A
74°
O A.' 37°
C
OB. 530
O C. 148°
O D. 74°
B
HELP PLS

REF.Image

In △ABD

AB=AD

and

In △CBD

CB=CD

As angle opposite to equal

sides are equal, so,

→In △ABD

∠30+∠x+∠x=180

∘

[∵ angle sum property and ∠ABD=∠ADB=∠x]

2∠x=180

∘

−30

∘

∠x=

2

150

∘

∠x=75

∘

→ In △EBD

∠60

∘

+∠y+∠y=180

∘

[(angle sum property) and ∠CBD=∠CDB=∠y ]

2∠y=180

∘

−60

∘

∠y=

2

120

∘

∠y=60

∘

∠ABC=∠ABD−∠CBD

=∠x−∠y

=75

∘

−60

∘

∠ABC=15

∘

Option C is correct

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: