In the given figure find the value of x please give correct answer I mark you as a brain list
Answers
Step-by-step explanation:
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We are given with three angles and we know that the value of straight angle is 180° so here the sum of all the angles would be 180°.
We must solve this equation to find the value of 'x'
⇒ (x-5) + (3x+20) + 65 = 180
Let's solve your equation step-by-step.
(x-5) + (3x+20) + 65 = 180
Step 1: Simplify both sides of the equation.
⇒ x - 5 + 3x + 20 + 65 = 180
⇒ x + -5 + 3x + 20 + 65 = 180
(Combine Like Terms)
⇒ (x + 3x) + (-5 + 20 + 65) = 180
⇒ 4x + 80 = 180
⇒ 4x + 80 = 180
Step 2: Subtract 80 from both sides.
⇒ 4x + 80 - 80 = 180 - 80
⇒ 4x = 100
Step 3: Divide both sides by 4.
⇒ 4x ÷ 4 = 100 ÷ 4
⇒ x = 25
Therefore the value of 'x' is 25.
Now we will find the value of the following angles.
∠EAD ⇒ (x - 5)° ⇒ (25 - 5)° ⇒ 20°
∠DAC ⇒ (3x + 20)° ⇒ (3 × 25 + 20)° ⇒ (75 + 20)° = 95°
∠CAB ⇒ 65°
Let's verify is the measures we obtain are what we require.
⇒ 20° + 95° + 65° = 180°
⇒ 180° = 180°
∴ The value of 'x' is 25.
∴ ∠EAD = 20°
∴ ∠DAC = 95°
∴ ∠CAB = 65°