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Back to Exercise: Recognize angle measure as additive

Exercises: Recognizing Angle Measure as Additive

Work through each section in order. For every unknown-angle problem, write an equation
with a symbol for the unknown, solve it, and check that the parts add up to the whole.

Grade 4·23 problems·~30 min·Common Core Math - Grade 4·standard·4-md-c-7
Work through problems with immediate feedback
A

Recall / Warm-Up

These problems review skills from earlier lessons that this lesson depends on.

1.

A straight angle measures how many degrees?

2.

Complete the fraction decomposition: $\frac{3}{4} = \frac{1}{4} + \frac{1}{4} + $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

third fourth:
3.

Solve for x: 15+x=4015 + x = 40.

B

Fluency Practice

1.

An angle measuring 130 degrees is split by an interior ray into two non-overlapping parts. One part measures 55 degrees. What is the measure of the other part?

2.

An angle of 150 degrees is split into three non-overlapping parts measuring 35 degrees, 60 degrees, and x degrees. What is x?

3.

A 20-degree angle is placed next to a 35-degree angle with no overlap, sharing one ray. What is the measure of the combined angle?

4.

An unknown whole angle w is decomposed into two non-overlapping parts measuring 48 degrees and 37 degrees. Write the equation: w =   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   +   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

first part:
second part:
5.

A student claims that a 100-degree angle is split into a 55-degree part and a 45-degree part. Enter the sum of the two parts to check whether this claim is consistent with the whole.

6.

An angle of 155 degrees is split into two non-overlapping parts. One part is 78 degrees. What is the measure of the other part?

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