Question

exterior angle theorem (coloring activity)
find the value of x for each problem.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
match the question number with the answer below. color the picture accordingly.

Explanation:

State the theorem

Using the Exterior Angle Theorem knowledge point
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

Solve Questions 1 to 4

Using the Exterior Angle Theorem knowledge point

• Question 1:

$$ x = 63 + 86 = 149 $$

• Question 2:

$$ x = 38 + 24 = 62 $$

• Question 3:

$$ 84 = 30 + x \implies x = 54 $$

• Question 4:

$$ 114 = x + 79 \implies x = 35 $$

Solve Questions 5 to 8

Using the Exterior Angle Theorem knowledge point

• Question 5:

$$ x = 84 + 57 = 141 $$

• Question 6:

$$ 151 = 53 + x \implies x = 98 $$

• Question 7:

$$ 15x - 4 = 62 + (7x + 14) \implies 15x - 4 = 7x + 76 \implies 8x = 80 \implies x = 10 $$

• Question 8:

$$ 10x + 6 = 80 + (4x + 4) \implies 10x + 6 = 4x + 84 \implies 6x = 78 \implies x = 13 $$

Solve Questions 9 to 12

Using the Exterior Angle Theorem knowledge point

• Question 9:

$$ 8x - 11 = 5x + (2x + 6) \implies 8x - 11 = 7x + 6 \implies x = 17 $$

• Question 10:

$$ 15x - 7 = 8x + (5x + 3) \implies 15x - 7 = 13x + 3 \implies 2x = 10 \implies x = 5 $$

• Question 11:

$$ 20x - 32 = 8x + (9x - 5) \implies 20x - 32 = 17x - 5 \implies 3x = 27 \implies x = 9 $$

• Question 12:

$$ 9x + 17 = 7x + (4x - 5) \implies 9x + 17 = 11x - 5 \implies 2x = 22 \implies x = 11 $$

Answer:

No.	Answer
2	\(x = 62\)
3	\(x = 54\)
4	\(x = 35\)
5	\(x = 141\)
6	\(x = 98\)
7	\(x = 10\)
8	\(x = 13\)
9	\(x = 17\)
10	\(x = 5\)
11	\(x = 9\)
12	\(x = 11\)