Question

If the angles of a triangle are 50°, 100° and 2y. Find the value of y

Answer 1

Answer:

50° + 100° + 2 y = 360° ( ASP of triangle)

2y = 360-150 = 210°

y = 106°

Step-by-step explanation:

Hope it helps you mate

Answer 2

GIVEN:

• The angles of a triangle are 50°, 100° and 2y.

TO FIND:

• What is the value of 'y' ?

SOLUTION:

We know that the sum of angles of a triangle is:-

$\large{\boxed{\bf{\star \: \angle A + \angle B + \angle C = {180}^{\circ} \: \star}}}$

• ∠A = 50°
• ∠B = 100°
• ∠C = 2y

According to question:-

$\sf{\longmapsto 50\degree + 100\degree + 2y = 180\degree }$

$\sf{\longmapsto 150\degree + 2y = 180\degree }$

$\sf{\longmapsto 2y = 180-150}$

$\sf{\longmapsto 2y = 30\degree }$

$\sf{\longmapsto y = \cancel\dfrac{30}{2} }$

$\bf{\longmapsto y = 15\degree }$

• y = 15°

• ∠C = 2y = 2(15) = 30°

❝ Hence, the value of ∠C is 30° ❞

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