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Maths-

General

Easy

Question

In the figure, find the value of x.

hint Hint:

-Find ∠EBD from ∠A and ∠C. Now, Find ∠CED from ∠EDB and ∠EBD .

The correct answer is: x = 115°

Step 1:-Find ∠EBC
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
In $straight capital delta$ ABC ; ∠EBD = ∠A + ∠C (Given in diagram ∠ A = 45° and ∠C = 30°)
∠EBD = 45° + 30°
∠EBD = 75°
Step 2:-Find ∠CED
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
In $straight capital delta$ BED ; ∠CED = ∠EDB + ∠EBD
Given in diagram ∠CED = x and ∠EDB = 45° and we get ∠EBD = 75°from step 1.
x =45° + 75°
∴ x = 115°

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