May I please receive help?

(a) Angle M = 60

(b) Angle Q = 35

Step-by-step explanation:

Question 1 (a):

The triangle in this image is an equilateral triangle, this means all the sides are the exact same measurement. The maximum amount the triangle can equal is a total of 180 degrees.

Now, since every side is divided equally, you can simply divide 180 degrees ( the max ) by the number of sides ( 3, since it's a triangle) to get 60 degrees for each side!

( If you want, you can even put this into an equation!

3x = 180 )

Question 2 (b):

This one is going to be more challenging. The triangle you are working with is an Isosceles triangle, which has 2 equal sides and 2 equal angles, which would be Q and S. Again, the total amount that a triangle can be is 180 degrees.

Take away 110, since that's the value we don't need to figure out anymore. That leaves you with 70 degrees. The remaining sides are both equal, so divide that by 2, leaving you with 35 degrees on each.

( If you want, you can even put this into an equation!

2x + 110 = 180 )

(and please brainliest lol)

Hopes this helps, sorry for the long response!

answer: h

step-by-step explanation:

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°