Question

Find the value of x in the triangle shown below

Answer 1

Answer:

x = 55

Step-by-step explanation:

Since 2 sides of the triangle are congruent, both 5, then the triangle is isosceles and the 2 base angles are congruent, both x , then

x + x + 70 = 180 ← sum of 3 angles = 180°

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Answer 2

Answer:

55.52

Step-by-step explanation:

By sine rule:

$\frac{ \sin x \degree}{5} = \frac{ \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ \sin x \degree = \frac{ 5 \: \sin 70 \degree}{5.7} \\ \\ x \degree = {sin}^{ - 1} ( \frac{ 5 \: \sin 70 \degree}{5.7}) \\ \\ x \degree = 55.516753493 \degree\\ \\ x = 55.52$