Question

In the following figure, ∠1 + ∠2 + ∠3 = 230°, then the measure of ∠4 is equal to
a) 130°
b) 80°
c) 65°
d) 90

Answer 1

Answer:

a,)130degree

Step-by-step explanation:

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Answer 2

Answer:

∠4 = 130°

Step-by-step explanation:

Given,

• ∠1 + ∠2 + ∠3 = 230°

To find,

• ∠4

How to find?

• We shall find it by transposition method.

Finding ∠4 :

∠1 + ∠2 + ∠3 + ∠4 = 360°

⇒ 230° + ∠4 = 360°

⇒ ∠4 = 360° - 230°

⇒∠4 = 130°

.°. ∠4 = 130°

Hence,the measure of ∠4 is 130°.