Question

2b) Determine the unknown angle x.

Answer 1

x = 35°

Explanation:

Given interior angles,

→ 90° (right angle)

→ 55°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of interior angles in triangle is 180°.

Formula we use,

→ <A + <B + <C = 180°

Forming the equation,

→ x + 90° + 55° = 180°

Then the value of x will be,

→ x + 90° + 55° = 180°

→ x + 145° = 180°

→ x = 180° - 145°

→ [ x = 35° ]

Hence, the value of x is 35°.

Answer 2

x = 35°

Explanation:

Step 1: Find the measure of the angle under the 55° angle:

• The triangle seems to be a right triangle, which means that the measure of the angle beneath the 55° angle is a right angle and is 90°.

Step 2: Use the Triangle Sum Theorem to determine the unknown angle x:

• The Triangle Sum Theorem states the sum of the angle measures in any triangle is 180°.

Thus, we can find x by subtracting the sum of the 55° and 90° angle from 180:

55 + 90 + x = 180

x = 180 - (55 + 90)

x = 180 - 145

x = 35

Thus, x is 35°.