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Missing angles

Finding a missing angle when a bigger angle is split into parts, knowing a straight line is 180° and a square corner is 90°.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

The parts add up to the whole angle. Take the part you know away from the whole: 90° − 35° = 55°. Check by adding the parts back together.

Watch for: Using 90° when the parts sit on a straight line (180°). Adding the parts when the whole is known and a part is missing. A subtraction slip that adding the parts back would catch.

At home: Fold a paper corner (90°) and draw a line out from it. Measure one part, then ask your child to work out the other.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Missing angles · 4.MD.C.7

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Find the angle

A straight line is 180°. A square corner is 90°.

45°?
°
75°?
°
30°?
°
35°?
°

Write it as an equation

The two parts make the whole angle.

53 += 9088 += 18038 += 9067 += 180
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4MDC7-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · Missing angles · 4.MD.C.7

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Find the angle

A straight line is 180°. A square corner is 90°.

45°45°
45°
75°105°
105°
30°60°
60°
35°145°
145°

Write it as an equation

The two parts make the whole angle.

53 +37= 9088 +92= 18038 +52= 9067 +113= 180
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4MDC7-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 4.MD.C.7 · Find missing angles by adding and subtracting.

Also: Maryland 2025 4.GR.B.7 · Texas TEKS 4.7E · Florida B.E.S.T. MA.4.GR.1.3 · Virginia SOL 5.MG.3

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