Question

A quadrilateral has two right angles,the remaining angles are in a ratio 1:5. Then the largest angle is

Answer 1

Answer:

Given ,

∠A = 90°

∠B = 90°

∠C : ∠D = 1:5

we know that ,

∠A + ∠B + ∠C + ∠D = 360°

90 + 90 + ∠C + ∠D = 360°

180 + ∠C + ∠D = 360°

∠C + ∠D = 180°

1x + 5x = 180

6x = 180

x = 180 / 6

  = 30

1x = 30°

5x = 150°

Hence ,

∠C = 30°

∠D = 150°

Based on the answer found , the largest angle is 150°

hope it helped and please mark as brainliest:)

Answer 2

The largest angle is 150°.

Given: A quadrilateral has two right angles, the remaining angles are in a ratio of 1: 5.

To Find: The largest angle.

Solution:

We know that total angle in a quadrilateral is 360°.

Let us take the angles as ∠A, ∠B, ∠C and ∠D.

Now, according to the problem, ∠A = ∠B = 90° and ∠C: ∠D = 1: 5

Since the total angles of a quadrilateral is 360°, so;

          ∠A + ∠B + ∠C + ∠D = 360°

    ⇒   90° + 90° + x + 5x  = 360°              [ where, x  is a constant ]

    ⇒     6x = 180°

    ⇒      x = 30°

So, ∠C = 30° and ∠D = 5 × 30° = 150°

Hence, the largest angle is 150°.

#SPJ3