Question

Can someone help me with these questions please, ill give you brainliest.

Answer 1

Problem 9.

Using the Angle Addition Postulate,

m<QRS + m<SRT = m<QRT

Now we replace the measures of the three angles above with the value or expressions we are given, and we solve for x.

2x + 8 + 3x + 14 = 82

5x + 22 = 82

5x = 60

x = 12

m<QRS = 2x + 8 = 2(12) + 8 = 24 + 8 = 32

Answer: 32 degrees

Problem 10.

Using the Angle Addition Postulate,

m<ABC + m<CBD = m<ABD

Now we replace the measures of the two angles above with the values we are given, and solve for the unknown angle.

115 + m<CBD = 180

m<CBD = 180 - 115

m<CBD = 65

Answer: m<CBD = 65 degrees