Question

The sum of two angles of a quadrilateral is 100° and the other two angles are equal. What is the measure of each of these two angles?

Answer 1

Answer:100+x+x=360

2x=360-100

2x=260

x=260÷2

x=130

So measure of each of these two angles is 130

Step-by-step explanation:

Answer 2

Gɪᴠᴇɴ :-

• Sum of two angles = 100° --(L1 + L2)
• Other two angles are equal --(L3 = L4)

ᴛᴏ ғɪɴᴅ :-

• Other two equal angles

sᴏʟᴜᴛɪᴏɴ :-

Let the equal angles be L3 = L4 = x °

then,

➦ According to Question :-

• Sum of angles in Quadrilateral = 360°

So,

➭ L1 + L2 + L3 + L4 = 360

➭ (L1 + L2) + (L3 + L4) = 360

➭ (100°) + (x + x) = 360° --(given)

➭ 100 + 2x = 360

➭ 2x = 360 - 100

➭ 2x = 260

➭ x = 260/2

➭ x = 130°

Hence,

• Each Equal angle is 130°

Therefore,

• Measure of each other two equal angles = 130°