angle A, B, C, D are related the measure of anle B is 1/2 the measure of angle A, measure of angle C is the measure of angle B plus 40, The measure of angle D is 1/3 times the measure of angle C, If the measure of angle D is 35 what is the measure of angle A
a=21ftb1=b2=5h=3
Wat is the angle E measure
To determine the measure of angle A, we need to follow the given relations step by step.
Let's solve this step by step:
1. The measure of angle B is 1/2 the measure of angle A.
We can represent this as: B = (1/2)A.
2. The measure of angle C is the measure of angle B plus 40.
We can represent this as: C = B + 40.
3. The measure of angle D is 1/3 times the measure of angle C.
We can represent this as: D = (1/3)C.
If the measure of angle D is given as 35, we can substitute it into equation 3 and solve for C.
D = (1/3)C
35 = (1/3)C
Multiply both sides by 3:
105 = C
Now we have the measure of angle C, which is 105.
Next, we can substitute the value of C into equation 2 and solve for B.
C = B + 40
105 = B + 40
Subtract 40 from both sides:
65 = B
Now we have the measure of angle B, which is 65.
Finally, we can substitute the value of B into equation 1 and solve for A.
B = (1/2)A
65 = (1/2)A
Multiply both sides by 2:
130 = A
Therefore, the measure of angle A is 130 degrees.