Two angles are supplementary. The evaluate of one is 30 more than twice the measure of the other. Determine the measure of the larger angle.

a. 130°

b. 20°

c. 50°

d. 70°

a. If two angles are supplementary, the sum of the measurement of the angles is 180°. ∠1 is shown by x. ∠2 is shown by 2x + 30. Solve the following equation for x; x + 2x + 30 = 180. Simplify; 3x + 30 = 180. Subtract 30 from both sides; 3x = 150. Divide both sides by 3; x = 50. The larger angle is 2x + 30 or 2(50) + 30, which same 130°. If you select b, the equation was set equal to 90 rather than 180 and you solved for the smaller angle. If you select c, x was solved for correctly; thus, this was the smaller of the two angles. If you select d, the original equation was set equal to 90 rather than 180, yet you continued to answer for the larger angle.

Posted Date: 5/24/2013 3:23:19 AM | Location : United States

Ask an Expert

Related Discussions:- Compute the measure of the larger angle, Assignment Help, Ask Question on Compute the measure of the larger angle, Get Answer, Expert's Help, Compute the measure of the larger angle Discussions

Write discussion on Compute the measure of the larger angle
Your posts are moderated

Write your message here..

Related Questions

Function that computes the product of two matrices, Write a function that c... Write a function that computes the product of two matrices, one of size m × n, and the other of size n × p. Test your function in a program that passes the following two matrices t

Area related to circle, If ABCD isaa square of side 6 cm find area of shad... If ABCD isaa square of side 6 cm find area of shaded region

What is the cost per ounce of detergent, A 64-ounce bottle of detergent cos... A 64-ounce bottle of detergent costs $3.20. What is the cost per ounce of detergent? To ?nd out the cost per ounce, divide the cost through the number of ounces; $3.20 ÷ 64 =

Complex analysis , cauchy integral theorem cauchy integral theorem

Explain the vertex formula, Explain the Vertex Formula ? The vertex for... Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax

What is dividing fractions, What is Dividing Fractions? If you want to ... What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication

Probability, a die was rooled 500 times and number of times 4 came up was n... a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10

Inverse laplace transforms, Determining the Laplace transform of a function... Determining the Laplace transform of a function is not terribly hard if we've found a table of transforms opposite us to use as we saw in the previous section. What we would want t

Numerical analysis, methods of interpolation methods of interpolation

Vectors - calculus, Vectors  This is a quite short section. We will b... Vectors  This is a quite short section. We will be taking a concise look at vectors and a few of their properties. We will require some of this material in the other section a