Question

Find the measurements

Answer 1

Answer:

<1=28, <2=62

Step-by-step explanation:

You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.

90+62=152.

180-152=28. So, angle 1=28.

28+90=118.

180-118=62

Answer 2

Answer:

Let,

A, B, C, D, E are the points.

where,

• A = 62°
• B = 90°
• C = unknown (1)
• D = 90°
• E = unknown (2)

As, we know:

Sum of all angles is 180°

Let "x" be the unknown angle (1) :

➮ ∠ABC = 62° + 90° + x = 180°

➮ ∠ABC = 152° + x = 180°

➮ ∠ABC = x =⟩ 180 - 152 = 28°

∴ unknown angle (1) is 28°

Let "x" be the unknown angle (2) :

➮ ∠CDE = 28° + 90° + x = 180°

➮ ∠CDE = 118° + x = 180°

➮ ∠CDE = x =⟩ 180 - 118 = 62°

∴ unknown angle (2) is 62°

Verification:

Unknown angle 1 :

➮ ∠ABC = 62° + 90° + 28°

➮ ∠ABC = 180°

Unknown angle 2 :

➮ ∠CDE = 28° + 90° + 62°

➮ ∠CDE = 180°