What is the value of y? a(3y+70) b(25) c(5x)

now, let's take a peek at the legs AB and AC, they both have a tickmark, meaning AB = AC, so we have an isosceles triangle with twin sides.

and twin sides will make twin angles at the "base", namely 25 = 5x.

since we know then a triangle has a total of 180° for interior angles, and we also know that ∡B = ∡C = 25°, so 25+25 = 50, so whatever the ∡A is, 180 - 50 = 130°.

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°