What is the measure of x? someone actually help im confused

angle x = 28 degrees

Step-by-step explanation:

Because of vertical angles, angle IAK and angle BAC are equal, and angle GCJ and angle ACB are also equal due to vertical angles

Since KL is perpendicular to FG, angle ABC is 90 degrees

ABC is a right triangle and acute angles in a right triangle are equal to 90 degrees

This means that angle BAC + angle ACB = 90 degrees

angle BAC = 62 degrees and angle ACB = x degrees

62 + x = 90

x = 28 degrees

goog may have it for you

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°